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Finding the Fourth Proportional to 8,656.16, 12,982.29 and 4,213.71

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Solution

The fourth proportional to 8,656.16, 12,982.29 and 4,213.71 is: 6,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.16 : 12,982.29 = 4,213.71 : x
  2. Step 2: Convert to fraction form
    8,656.16/12,982.29 = 4,213.71/x
  3. Step 3: Cross multiply
    8,656.16x = 12,982.29 × 4,213.71
  4. Step 4: Simplify right side
    8,656.16x = 54,703,605.20
  5. Step 5: Solve for x
    x = 54,703,605.20/8,656.16
  6. Step 6: Final answer
    x = 6,319.62

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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.