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Finding the Fourth Proportional to 29,720, 44,562.72 and 9,987.68

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Solution

The fourth proportional to 29,720, 44,562.72 and 9,987.68 is: 14,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720 : 44,562.72 = 9,987.68 : x
  2. Step 2: Convert to fraction form
    29,720/44,562.72 = 9,987.68/x
  3. Step 3: Cross multiply
    29,720x = 44,562.72 × 9,987.68
  4. Step 4: Simplify right side
    29,720x = 445,078,187.29
  5. Step 5: Solve for x
    x = 445,078,187.29/29,720
  6. Step 6: Final answer
    x = 14,975.71

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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.