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Finding the Fourth Proportional to 15,648.74, 23,478.89 and 7,331.46

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Solution

The fourth proportional to 15,648.74, 23,478.89 and 7,331.46 is: 10,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.74 : 23,478.89 = 7,331.46 : x
  2. Step 2: Convert to fraction form
    15,648.74/23,478.89 = 7,331.46/x
  3. Step 3: Cross multiply
    15,648.74x = 23,478.89 × 7,331.46
  4. Step 4: Simplify right side
    15,648.74x = 172,134,570.86
  5. Step 5: Solve for x
    x = 172,134,570.86/15,648.74
  6. Step 6: Final answer
    x = 10,999.90

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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.