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Finding the Fourth Proportional to 9,425.69, 12,974.14 and 8,309.51

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Solution

The fourth proportional to 9,425.69, 12,974.14 and 8,309.51 is: 11,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.69 : 12,974.14 = 8,309.51 : x
  2. Step 2: Convert to fraction form
    9,425.69/12,974.14 = 8,309.51/x
  3. Step 3: Cross multiply
    9,425.69x = 12,974.14 × 8,309.51
  4. Step 4: Simplify right side
    9,425.69x = 107,808,746.07
  5. Step 5: Solve for x
    x = 107,808,746.07/9,425.69
  6. Step 6: Final answer
    x = 11,437.76

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.