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Finding the Fourth Proportional to 22,658.13, 31,267.56 and 12,586.32

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Solution

The fourth proportional to 22,658.13, 31,267.56 and 12,586.32 is: 17,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.13 : 31,267.56 = 12,586.32 : x
  2. Step 2: Convert to fraction form
    22,658.13/31,267.56 = 12,586.32/x
  3. Step 3: Cross multiply
    22,658.13x = 31,267.56 × 12,586.32
  4. Step 4: Simplify right side
    22,658.13x = 393,543,515.78
  5. Step 5: Solve for x
    x = 393,543,515.78/22,658.13
  6. Step 6: Final answer
    x = 17,368.76

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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.