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Finding the Fourth Proportional to 15,456.44, 23,170.98 and 6,686.57

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Solution

The fourth proportional to 15,456.44, 23,170.98 and 6,686.57 is: 10,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.44 : 23,170.98 = 6,686.57 : x
  2. Step 2: Convert to fraction form
    15,456.44/23,170.98 = 6,686.57/x
  3. Step 3: Cross multiply
    15,456.44x = 23,170.98 × 6,686.57
  4. Step 4: Simplify right side
    15,456.44x = 154,934,379.74
  5. Step 5: Solve for x
    x = 154,934,379.74/15,456.44
  6. Step 6: Final answer
    x = 10,023.94

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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.