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Finding the Fourth Proportional to 10,520.55, 15,780.92 and 4,974.03

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Solution

The fourth proportional to 10,520.55, 15,780.92 and 4,974.03 is: 7,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.55 : 15,780.92 = 4,974.03 : x
  2. Step 2: Convert to fraction form
    10,520.55/15,780.92 = 4,974.03/x
  3. Step 3: Cross multiply
    10,520.55x = 15,780.92 × 4,974.03
  4. Step 4: Simplify right side
    10,520.55x = 78,494,744.64
  5. Step 5: Solve for x
    x = 78,494,744.64/10,520.55
  6. Step 6: Final answer
    x = 7,461.09

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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.