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Finding the Fourth Proportional to 5,156.80, 7,689.89 and 5,110

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Solution

The fourth proportional to 5,156.80, 7,689.89 and 5,110 is: 7,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.80 : 7,689.89 = 5,110 : x
  2. Step 2: Convert to fraction form
    5,156.80/7,689.89 = 5,110/x
  3. Step 3: Cross multiply
    5,156.80x = 7,689.89 × 5,110
  4. Step 4: Simplify right side
    5,156.80x = 39,295,337.90
  5. Step 5: Solve for x
    x = 39,295,337.90/5,156.80
  6. Step 6: Final answer
    x = 7,620.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.