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Finding the Fourth Proportional to 13,407.87, 18,502.65 and 7,358.16

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Solution

The fourth proportional to 13,407.87, 18,502.65 and 7,358.16 is: 10,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.87 : 18,502.65 = 7,358.16 : x
  2. Step 2: Convert to fraction form
    13,407.87/18,502.65 = 7,358.16/x
  3. Step 3: Cross multiply
    13,407.87x = 18,502.65 × 7,358.16
  4. Step 4: Simplify right side
    13,407.87x = 136,145,459.12
  5. Step 5: Solve for x
    x = 136,145,459.12/13,407.87
  6. Step 6: Final answer
    x = 10,154.15

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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.