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Finding the Fourth Proportional to 35,742, 49,324 and 20,840.88

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Solution

The fourth proportional to 35,742, 49,324 and 20,840.88 is: 28,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 49,324 = 20,840.88 : x
  2. Step 2: Convert to fraction form
    35,742/49,324 = 20,840.88/x
  3. Step 3: Cross multiply
    35,742x = 49,324 × 20,840.88
  4. Step 4: Simplify right side
    35,742x = 1,027,955,565.12
  5. Step 5: Solve for x
    x = 1,027,955,565.12/35,742
  6. Step 6: Final answer
    x = 28,760.44

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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.