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Finding the Fourth Proportional to 10,617.80, 15,921.90 and 4,771.40

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Solution

The fourth proportional to 10,617.80, 15,921.90 and 4,771.40 is: 7,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.80 : 15,921.90 = 4,771.40 : x
  2. Step 2: Convert to fraction form
    10,617.80/15,921.90 = 4,771.40/x
  3. Step 3: Cross multiply
    10,617.80x = 15,921.90 × 4,771.40
  4. Step 4: Simplify right side
    10,617.80x = 75,969,753.66
  5. Step 5: Solve for x
    x = 75,969,753.66/10,617.80
  6. Step 6: Final answer
    x = 7,154.94

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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.