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Finding the Fourth Proportional to 8,646.26, 12,971.46 and 3,715.96

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Solution

The fourth proportional to 8,646.26, 12,971.46 and 3,715.96 is: 5,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.26 : 12,971.46 = 3,715.96 : x
  2. Step 2: Convert to fraction form
    8,646.26/12,971.46 = 3,715.96/x
  3. Step 3: Cross multiply
    8,646.26x = 12,971.46 × 3,715.96
  4. Step 4: Simplify right side
    8,646.26x = 48,201,426.50
  5. Step 5: Solve for x
    x = 48,201,426.50/8,646.26
  6. Step 6: Final answer
    x = 5,574.83

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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.