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Finding the Fourth Proportional to 26,881.68, 40,330.72 and 13,743.28

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Solution

The fourth proportional to 26,881.68, 40,330.72 and 13,743.28 is: 20,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881.68 : 40,330.72 = 13,743.28 : x
  2. Step 2: Convert to fraction form
    26,881.68/40,330.72 = 13,743.28/x
  3. Step 3: Cross multiply
    26,881.68x = 40,330.72 × 13,743.28
  4. Step 4: Simplify right side
    26,881.68x = 554,276,351.05
  5. Step 5: Solve for x
    x = 554,276,351.05/26,881.68
  6. Step 6: Final answer
    x = 20,619.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.