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Finding the Fourth Proportional to 30,988, 42,876.03 and 27,017.38

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Solution

The fourth proportional to 30,988, 42,876.03 and 27,017.38 is: 37,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988 : 42,876.03 = 27,017.38 : x
  2. Step 2: Convert to fraction form
    30,988/42,876.03 = 27,017.38/x
  3. Step 3: Cross multiply
    30,988x = 42,876.03 × 27,017.38
  4. Step 4: Simplify right side
    30,988x = 1,158,397,995.40
  5. Step 5: Solve for x
    x = 1,158,397,995.40/30,988
  6. Step 6: Final answer
    x = 37,382.15

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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.