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Finding the Fourth Proportional to 9,291.93, 12,812.06 and 6,309.69

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Solution

The fourth proportional to 9,291.93, 12,812.06 and 6,309.69 is: 8,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.93 : 12,812.06 = 6,309.69 : x
  2. Step 2: Convert to fraction form
    9,291.93/12,812.06 = 6,309.69/x
  3. Step 3: Cross multiply
    9,291.93x = 12,812.06 × 6,309.69
  4. Step 4: Simplify right side
    9,291.93x = 80,840,095.31
  5. Step 5: Solve for x
    x = 80,840,095.31/9,291.93
  6. Step 6: Final answer
    x = 8,700.03

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Half scale
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Double scale
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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.