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Finding the Fourth Proportional to 9,424.69, 12,972.76 and 8,308.51

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Solution

The fourth proportional to 9,424.69, 12,972.76 and 8,308.51 is: 11,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.69 : 12,972.76 = 8,308.51 : x
  2. Step 2: Convert to fraction form
    9,424.69/12,972.76 = 8,308.51/x
  3. Step 3: Cross multiply
    9,424.69x = 12,972.76 × 8,308.51
  4. Step 4: Simplify right side
    9,424.69x = 107,784,306.19
  5. Step 5: Solve for x
    x = 107,784,306.19/9,424.69
  6. Step 6: Final answer
    x = 11,436.38

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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.