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Finding the Fourth Proportional to 8,656.19, 12,972.14 and 3,722.12

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Solution

The fourth proportional to 8,656.19, 12,972.14 and 3,722.12 is: 5,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.19 : 12,972.14 = 3,722.12 : x
  2. Step 2: Convert to fraction form
    8,656.19/12,972.14 = 3,722.12/x
  3. Step 3: Cross multiply
    8,656.19x = 12,972.14 × 3,722.12
  4. Step 4: Simplify right side
    8,656.19x = 48,283,843.13
  5. Step 5: Solve for x
    x = 48,283,843.13/8,656.19
  6. Step 6: Final answer
    x = 5,577.96

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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.