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Finding the Fourth Proportional to 6,622.61, 9,135.15 and 3,932.00

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Solution

The fourth proportional to 6,622.61, 9,135.15 and 3,932.00 is: 5,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.61 : 9,135.15 = 3,932.00 : x
  2. Step 2: Convert to fraction form
    6,622.61/9,135.15 = 3,932.00/x
  3. Step 3: Cross multiply
    6,622.61x = 9,135.15 × 3,932.00
  4. Step 4: Simplify right side
    6,622.61x = 35,919,444.06
  5. Step 5: Solve for x
    x = 35,919,444.06/6,622.61
  6. Step 6: Final answer
    x = 5,423.76

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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.