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Finding the Fourth Proportional to 32,708, 45,142.92 and 19,278.44

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Solution

The fourth proportional to 32,708, 45,142.92 and 19,278.44 is: 26,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708 : 45,142.92 = 19,278.44 : x
  2. Step 2: Convert to fraction form
    32,708/45,142.92 = 19,278.44/x
  3. Step 3: Cross multiply
    32,708x = 45,142.92 × 19,278.44
  4. Step 4: Simplify right side
    32,708x = 870,285,074.64
  5. Step 5: Solve for x
    x = 870,285,074.64/32,708
  6. Step 6: Final answer
    x = 26,607.71

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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.