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Finding the Fourth Proportional to 26,280, 36,266.40 and 16,861.32

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Solution

The fourth proportional to 26,280, 36,266.40 and 16,861.32 is: 23,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,280 : 36,266.40 = 16,861.32 : x
  2. Step 2: Convert to fraction form
    26,280/36,266.40 = 16,861.32/x
  3. Step 3: Cross multiply
    26,280x = 36,266.40 × 16,861.32
  4. Step 4: Simplify right side
    26,280x = 611,499,375.65
  5. Step 5: Solve for x
    x = 611,499,375.65/26,280
  6. Step 6: Final answer
    x = 23,268.62

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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.