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Finding the Fourth Proportional to 7,761.31, 11,647.82 and 5,686.63

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Solution

The fourth proportional to 7,761.31, 11,647.82 and 5,686.63 is: 8,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.31 : 11,647.82 = 5,686.63 : x
  2. Step 2: Convert to fraction form
    7,761.31/11,647.82 = 5,686.63/x
  3. Step 3: Cross multiply
    7,761.31x = 11,647.82 × 5,686.63
  4. Step 4: Simplify right side
    7,761.31x = 66,236,827.74
  5. Step 5: Solve for x
    x = 66,236,827.74/7,761.31
  6. Step 6: Final answer
    x = 8,534.24

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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.