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Finding the Fourth Proportional to 22,658.53, 31,267.42 and 12,586.39

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Solution

The fourth proportional to 22,658.53, 31,267.42 and 12,586.39 is: 17,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.53 : 31,267.42 = 12,586.39 : x
  2. Step 2: Convert to fraction form
    22,658.53/31,267.42 = 12,586.39/x
  3. Step 3: Cross multiply
    22,658.53x = 31,267.42 × 12,586.39
  4. Step 4: Simplify right side
    22,658.53x = 393,543,942.41
  5. Step 5: Solve for x
    x = 393,543,942.41/22,658.53
  6. Step 6: Final answer
    x = 17,368.47

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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.