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Finding the Fourth Proportional to 6,308.12, 8,701.65 and 3,655.17

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Solution

The fourth proportional to 6,308.12, 8,701.65 and 3,655.17 is: 5,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.12 : 8,701.65 = 3,655.17 : x
  2. Step 2: Convert to fraction form
    6,308.12/8,701.65 = 3,655.17/x
  3. Step 3: Cross multiply
    6,308.12x = 8,701.65 × 3,655.17
  4. Step 4: Simplify right side
    6,308.12x = 31,806,010.03
  5. Step 5: Solve for x
    x = 31,806,010.03/6,308.12
  6. Step 6: Final answer
    x = 5,042.07

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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.