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Finding the Fourth Proportional to 39,642.46, 59,473.60 and 27,978.46

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Solution

The fourth proportional to 39,642.46, 59,473.60 and 27,978.46 is: 41,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642.46 : 59,473.60 = 27,978.46 : x
  2. Step 2: Convert to fraction form
    39,642.46/59,473.60 = 27,978.46/x
  3. Step 3: Cross multiply
    39,642.46x = 59,473.60 × 27,978.46
  4. Step 4: Simplify right side
    39,642.46x = 1,663,979,738.66
  5. Step 5: Solve for x
    x = 1,663,979,738.66/39,642.46
  6. Step 6: Final answer
    x = 41,974.68

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1.5x scale

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.