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Finding the Fourth Proportional to 10,977, 16,444.85 and 5,423.85

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Solution

The fourth proportional to 10,977, 16,444.85 and 5,423.85 is: 8,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 16,444.85 = 5,423.85 : x
  2. Step 2: Convert to fraction form
    10,977/16,444.85 = 5,423.85/x
  3. Step 3: Cross multiply
    10,977x = 16,444.85 × 5,423.85
  4. Step 4: Simplify right side
    10,977x = 89,194,372.55
  5. Step 5: Solve for x
    x = 89,194,372.55/10,977
  6. Step 6: Final answer
    x = 8,125.57

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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.