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Finding the Fourth Proportional to 6,308.59, 8,705.10 and 3,655.66

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Solution

The fourth proportional to 6,308.59, 8,705.10 and 3,655.66 is: 5,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.59 : 8,705.10 = 3,655.66 : x
  2. Step 2: Convert to fraction form
    6,308.59/8,705.10 = 3,655.66/x
  3. Step 3: Cross multiply
    6,308.59x = 8,705.10 × 3,655.66
  4. Step 4: Simplify right side
    6,308.59x = 31,822,885.87
  5. Step 5: Solve for x
    x = 31,822,885.87/6,308.59
  6. Step 6: Final answer
    x = 5,044.37

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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.