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Finding the Fourth Proportional to 10,581.12, 15,901.92 and 7,142.40

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Solution

The fourth proportional to 10,581.12, 15,901.92 and 7,142.40 is: 10,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.12 : 15,901.92 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    10,581.12/15,901.92 = 7,142.40/x
  3. Step 3: Cross multiply
    10,581.12x = 15,901.92 × 7,142.40
  4. Step 4: Simplify right side
    10,581.12x = 113,577,873.41
  5. Step 5: Solve for x
    x = 113,577,873.41/10,581.12
  6. Step 6: Final answer
    x = 10,734.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.