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Finding the Fourth Proportional to 10,502.30, 15,753.49 and 7,205.40

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Solution

The fourth proportional to 10,502.30, 15,753.49 and 7,205.40 is: 10,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.30 : 15,753.49 = 7,205.40 : x
  2. Step 2: Convert to fraction form
    10,502.30/15,753.49 = 7,205.40/x
  3. Step 3: Cross multiply
    10,502.30x = 15,753.49 × 7,205.40
  4. Step 4: Simplify right side
    10,502.30x = 113,510,178.83
  5. Step 5: Solve for x
    x = 113,510,178.83/10,502.30
  6. Step 6: Final answer
    x = 10,808.12

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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.