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Finding the Fourth Proportional to 10,500.56, 15,753.08 and 5,238.40

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Solution

The fourth proportional to 10,500.56, 15,753.08 and 5,238.40 is: 7,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.56 : 15,753.08 = 5,238.40 : x
  2. Step 2: Convert to fraction form
    10,500.56/15,753.08 = 5,238.40/x
  3. Step 3: Cross multiply
    10,500.56x = 15,753.08 × 5,238.40
  4. Step 4: Simplify right side
    10,500.56x = 82,520,934.27
  5. Step 5: Solve for x
    x = 82,520,934.27/10,500.56
  6. Step 6: Final answer
    x = 7,858.72

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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.