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Finding the Fourth Proportional to 10,505.84, 15,747.72 and 9,959

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Solution

The fourth proportional to 10,505.84, 15,747.72 and 9,959 is: 14,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.84 : 15,747.72 = 9,959 : x
  2. Step 2: Convert to fraction form
    10,505.84/15,747.72 = 9,959/x
  3. Step 3: Cross multiply
    10,505.84x = 15,747.72 × 9,959
  4. Step 4: Simplify right side
    10,505.84x = 156,831,543.48
  5. Step 5: Solve for x
    x = 156,831,543.48/10,505.84
  6. Step 6: Final answer
    x = 14,928.03

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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.