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Finding the Fourth Proportional to 19,538.87, 29,307.87 and 4,747.86

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Solution

The fourth proportional to 19,538.87, 29,307.87 and 4,747.86 is: 7,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.87 : 29,307.87 = 4,747.86 : x
  2. Step 2: Convert to fraction form
    19,538.87/29,307.87 = 4,747.86/x
  3. Step 3: Cross multiply
    19,538.87x = 29,307.87 × 4,747.86
  4. Step 4: Simplify right side
    19,538.87x = 139,149,663.66
  5. Step 5: Solve for x
    x = 139,149,663.66/19,538.87
  6. Step 6: Final answer
    x = 7,121.69

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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.