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Finding the Fourth Proportional to 49,497.60, 68,305.86 and 27,987

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Solution

The fourth proportional to 49,497.60, 68,305.86 and 27,987 is: 38,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497.60 : 68,305.86 = 27,987 : x
  2. Step 2: Convert to fraction form
    49,497.60/68,305.86 = 27,987/x
  3. Step 3: Cross multiply
    49,497.60x = 68,305.86 × 27,987
  4. Step 4: Simplify right side
    49,497.60x = 1,911,676,103.82
  5. Step 5: Solve for x
    x = 1,911,676,103.82/49,497.60
  6. Step 6: Final answer
    x = 38,621.59

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1.5x scale

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.