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Finding the Fourth Proportional to 9,989.68, 14,971.92 and 5,060.56

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Solution

The fourth proportional to 9,989.68, 14,971.92 and 5,060.56 is: 7,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.68 : 14,971.92 = 5,060.56 : x
  2. Step 2: Convert to fraction form
    9,989.68/14,971.92 = 5,060.56/x
  3. Step 3: Cross multiply
    9,989.68x = 14,971.92 × 5,060.56
  4. Step 4: Simplify right side
    9,989.68x = 75,766,299.48
  5. Step 5: Solve for x
    x = 75,766,299.48/9,989.68
  6. Step 6: Final answer
    x = 7,584.46

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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.