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Finding the Fourth Proportional to 19,701, 29,542.59 and 5,657.81

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Solution

The fourth proportional to 19,701, 29,542.59 and 5,657.81 is: 8,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 29,542.59 = 5,657.81 : x
  2. Step 2: Convert to fraction form
    19,701/29,542.59 = 5,657.81/x
  3. Step 3: Cross multiply
    19,701x = 29,542.59 × 5,657.81
  4. Step 4: Simplify right side
    19,701x = 167,146,213.41
  5. Step 5: Solve for x
    x = 167,146,213.41/19,701
  6. Step 6: Final answer
    x = 8,484.15

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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.