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Finding the Fourth Proportional to 10,757.76, 16,125.30 and 4,918.20

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Solution

The fourth proportional to 10,757.76, 16,125.30 and 4,918.20 is: 7,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.76 : 16,125.30 = 4,918.20 : x
  2. Step 2: Convert to fraction form
    10,757.76/16,125.30 = 4,918.20/x
  3. Step 3: Cross multiply
    10,757.76x = 16,125.30 × 4,918.20
  4. Step 4: Simplify right side
    10,757.76x = 79,307,450.46
  5. Step 5: Solve for x
    x = 79,307,450.46/10,757.76
  6. Step 6: Final answer
    x = 7,372.12

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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.