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Finding the Fourth Proportional to 19,589.98, 29,387.19 and 7,115.86

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Solution

The fourth proportional to 19,589.98, 29,387.19 and 7,115.86 is: 10,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.98 : 29,387.19 = 7,115.86 : x
  2. Step 2: Convert to fraction form
    19,589.98/29,387.19 = 7,115.86/x
  3. Step 3: Cross multiply
    19,589.98x = 29,387.19 × 7,115.86
  4. Step 4: Simplify right side
    19,589.98x = 209,115,129.83
  5. Step 5: Solve for x
    x = 209,115,129.83/19,589.98
  6. Step 6: Final answer
    x = 10,674.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.