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Finding the Fourth Proportional to 7,711.88, 10,642.41 and 4,175.10

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Solution

The fourth proportional to 7,711.88, 10,642.41 and 4,175.10 is: 5,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.88 : 10,642.41 = 4,175.10 : x
  2. Step 2: Convert to fraction form
    7,711.88/10,642.41 = 4,175.10/x
  3. Step 3: Cross multiply
    7,711.88x = 10,642.41 × 4,175.10
  4. Step 4: Simplify right side
    7,711.88x = 44,433,125.99
  5. Step 5: Solve for x
    x = 44,433,125.99/7,711.88
  6. Step 6: Final answer
    x = 5,761.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.