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Finding the Fourth Proportional to 8,381, 11,566.14 and 4,655

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Solution

The fourth proportional to 8,381, 11,566.14 and 4,655 is: 6,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 11,566.14 = 4,655 : x
  2. Step 2: Convert to fraction form
    8,381/11,566.14 = 4,655/x
  3. Step 3: Cross multiply
    8,381x = 11,566.14 × 4,655
  4. Step 4: Simplify right side
    8,381x = 53,840,381.70
  5. Step 5: Solve for x
    x = 53,840,381.70/8,381
  6. Step 6: Final answer
    x = 6,424.10

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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.