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Finding the Fourth Proportional to 22,657.65, 31,266.84 and 12,586.38

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Solution

The fourth proportional to 22,657.65, 31,266.84 and 12,586.38 is: 17,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.65 : 31,266.84 = 12,586.38 : x
  2. Step 2: Convert to fraction form
    22,657.65/31,266.84 = 12,586.38/x
  3. Step 3: Cross multiply
    22,657.65x = 31,266.84 × 12,586.38
  4. Step 4: Simplify right side
    22,657.65x = 393,536,329.64
  5. Step 5: Solve for x
    x = 393,536,329.64/22,657.65
  6. Step 6: Final answer
    x = 17,368.81

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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.