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Finding the Fourth Proportional to 10,402.80, 15,586.92 and 7,318.32

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Solution

The fourth proportional to 10,402.80, 15,586.92 and 7,318.32 is: 10,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.80 : 15,586.92 = 7,318.32 : x
  2. Step 2: Convert to fraction form
    10,402.80/15,586.92 = 7,318.32/x
  3. Step 3: Cross multiply
    10,402.80x = 15,586.92 × 7,318.32
  4. Step 4: Simplify right side
    10,402.80x = 114,070,068.37
  5. Step 5: Solve for x
    x = 114,070,068.37/10,402.80
  6. Step 6: Final answer
    x = 10,965.32

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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.