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Finding the Fourth Proportional to 15,854.69, 23,780.15 and 4,168.82

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Solution

The fourth proportional to 15,854.69, 23,780.15 and 4,168.82 is: 6,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.69 : 23,780.15 = 4,168.82 : x
  2. Step 2: Convert to fraction form
    15,854.69/23,780.15 = 4,168.82/x
  3. Step 3: Cross multiply
    15,854.69x = 23,780.15 × 4,168.82
  4. Step 4: Simplify right side
    15,854.69x = 99,135,219.16
  5. Step 5: Solve for x
    x = 99,135,219.16/15,854.69
  6. Step 6: Final answer
    x = 6,252.74

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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.