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Finding the Fourth Proportional to 10,620.53, 15,899.65 and 7,446.97

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Solution

The fourth proportional to 10,620.53, 15,899.65 and 7,446.97 is: 11,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.53 : 15,899.65 = 7,446.97 : x
  2. Step 2: Convert to fraction form
    10,620.53/15,899.65 = 7,446.97/x
  3. Step 3: Cross multiply
    10,620.53x = 15,899.65 × 7,446.97
  4. Step 4: Simplify right side
    10,620.53x = 118,404,158.19
  5. Step 5: Solve for x
    x = 118,404,158.19/10,620.53
  6. Step 6: Final answer
    x = 11,148.61

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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.