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Finding the Fourth Proportional to 19,572.40, 29,357.96 and 4,781.40

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Solution

The fourth proportional to 19,572.40, 29,357.96 and 4,781.40 is: 7,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572.40 : 29,357.96 = 4,781.40 : x
  2. Step 2: Convert to fraction form
    19,572.40/29,357.96 = 4,781.40/x
  3. Step 3: Cross multiply
    19,572.40x = 29,357.96 × 4,781.40
  4. Step 4: Simplify right side
    19,572.40x = 140,372,149.94
  5. Step 5: Solve for x
    x = 140,372,149.94/19,572.40
  6. Step 6: Final answer
    x = 7,171.94

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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.