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Finding the Fourth Proportional to 32,978.74, 45,508.49 and 21,040.80

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Solution

The fourth proportional to 32,978.74, 45,508.49 and 21,040.80 is: 29,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.74 : 45,508.49 = 21,040.80 : x
  2. Step 2: Convert to fraction form
    32,978.74/45,508.49 = 21,040.80/x
  3. Step 3: Cross multiply
    32,978.74x = 45,508.49 × 21,040.80
  4. Step 4: Simplify right side
    32,978.74x = 957,535,036.39
  5. Step 5: Solve for x
    x = 957,535,036.39/32,978.74
  6. Step 6: Final answer
    x = 29,034.92

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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.