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Finding the Fourth Proportional to 9,004.92, 12,438.78 and 7,243.16

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Solution

The fourth proportional to 9,004.92, 12,438.78 and 7,243.16 is: 10,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.92 : 12,438.78 = 7,243.16 : x
  2. Step 2: Convert to fraction form
    9,004.92/12,438.78 = 7,243.16/x
  3. Step 3: Cross multiply
    9,004.92x = 12,438.78 × 7,243.16
  4. Step 4: Simplify right side
    9,004.92x = 90,096,073.74
  5. Step 5: Solve for x
    x = 90,096,073.74/9,004.92
  6. Step 6: Final answer
    x = 10,005.21

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Half 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.