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Finding the Fourth Proportional to 39,842.56, 54,980.69 and 21,934.11

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Solution

The fourth proportional to 39,842.56, 54,980.69 and 21,934.11 is: 30,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842.56 : 54,980.69 = 21,934.11 : x
  2. Step 2: Convert to fraction form
    39,842.56/54,980.69 = 21,934.11/x
  3. Step 3: Cross multiply
    39,842.56x = 54,980.69 × 21,934.11
  4. Step 4: Simplify right side
    39,842.56x = 1,205,952,502.34
  5. Step 5: Solve for x
    x = 1,205,952,502.34/39,842.56
  6. Step 6: Final answer
    x = 30,267.95

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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.