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Finding the Fourth Proportional to 10,387.62, 15,580.94 and 4,839.03

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Solution

The fourth proportional to 10,387.62, 15,580.94 and 4,839.03 is: 7,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.62 : 15,580.94 = 4,839.03 : x
  2. Step 2: Convert to fraction form
    10,387.62/15,580.94 = 4,839.03/x
  3. Step 3: Cross multiply
    10,387.62x = 15,580.94 × 4,839.03
  4. Step 4: Simplify right side
    10,387.62x = 75,396,611.89
  5. Step 5: Solve for x
    x = 75,396,611.89/10,387.62
  6. Step 6: Final answer
    x = 7,258.31

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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.