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Finding the Fourth Proportional to 19,985.57, 29,978.45 and 5,193.44

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Solution

The fourth proportional to 19,985.57, 29,978.45 and 5,193.44 is: 7,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.57 : 29,978.45 = 5,193.44 : x
  2. Step 2: Convert to fraction form
    19,985.57/29,978.45 = 5,193.44/x
  3. Step 3: Cross multiply
    19,985.57x = 29,978.45 × 5,193.44
  4. Step 4: Simplify right side
    19,985.57x = 155,691,255.40
  5. Step 5: Solve for x
    x = 155,691,255.40/19,985.57
  6. Step 6: Final answer
    x = 7,790.18

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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.