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Finding the Fourth Proportional to 30,987, 42,874.65 and 27,016.38

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Solution

The fourth proportional to 30,987, 42,874.65 and 27,016.38 is: 37,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987 : 42,874.65 = 27,016.38 : x
  2. Step 2: Convert to fraction form
    30,987/42,874.65 = 27,016.38/x
  3. Step 3: Cross multiply
    30,987x = 42,874.65 × 27,016.38
  4. Step 4: Simplify right side
    30,987x = 1,158,317,836.77
  5. Step 5: Solve for x
    x = 1,158,317,836.77/30,987
  6. Step 6: Final answer
    x = 37,380.77

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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.