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Finding the Fourth Proportional to 19,578.89, 29,368.34 and 5,727.89

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Solution

The fourth proportional to 19,578.89, 29,368.34 and 5,727.89 is: 8,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.89 : 29,368.34 = 5,727.89 : x
  2. Step 2: Convert to fraction form
    19,578.89/29,368.34 = 5,727.89/x
  3. Step 3: Cross multiply
    19,578.89x = 29,368.34 × 5,727.89
  4. Step 4: Simplify right side
    19,578.89x = 168,218,445.52
  5. Step 5: Solve for x
    x = 168,218,445.52/19,578.89
  6. Step 6: Final answer
    x = 8,591.83

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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.