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Finding the Fourth Proportional to 22,656.68, 31,266.41 and 12,585.30

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Solution

The fourth proportional to 22,656.68, 31,266.41 and 12,585.30 is: 17,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.68 : 31,266.41 = 12,585.30 : x
  2. Step 2: Convert to fraction form
    22,656.68/31,266.41 = 12,585.30/x
  3. Step 3: Cross multiply
    22,656.68x = 31,266.41 × 12,585.30
  4. Step 4: Simplify right side
    22,656.68x = 393,497,149.77
  5. Step 5: Solve for x
    x = 393,497,149.77/22,656.68
  6. Step 6: Final answer
    x = 17,367.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.