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Finding the Fourth Proportional to 10,611.92, 15,839.98 and 9,830

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Solution

The fourth proportional to 10,611.92, 15,839.98 and 9,830 is: 14,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.92 : 15,839.98 = 9,830 : x
  2. Step 2: Convert to fraction form
    10,611.92/15,839.98 = 9,830/x
  3. Step 3: Cross multiply
    10,611.92x = 15,839.98 × 9,830
  4. Step 4: Simplify right side
    10,611.92x = 155,707,003.40
  5. Step 5: Solve for x
    x = 155,707,003.40/10,611.92
  6. Step 6: Final answer
    x = 14,672.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.