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Finding the Fourth Proportional to 7,716.31, 10,648.65 and 4,531.90

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Solution

The fourth proportional to 7,716.31, 10,648.65 and 4,531.90 is: 6,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.31 : 10,648.65 = 4,531.90 : x
  2. Step 2: Convert to fraction form
    7,716.31/10,648.65 = 4,531.90/x
  3. Step 3: Cross multiply
    7,716.31x = 10,648.65 × 4,531.90
  4. Step 4: Simplify right side
    7,716.31x = 48,258,616.94
  5. Step 5: Solve for x
    x = 48,258,616.94/7,716.31
  6. Step 6: Final answer
    x = 6,254.11

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Why These Related Problems?

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