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Finding the Fourth Proportional to 6,988, 10,482.64 and 1,793.92

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Solution

The fourth proportional to 6,988, 10,482.64 and 1,793.92 is: 2,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988 : 10,482.64 = 1,793.92 : x
  2. Step 2: Convert to fraction form
    6,988/10,482.64 = 1,793.92/x
  3. Step 3: Cross multiply
    6,988x = 10,482.64 × 1,793.92
  4. Step 4: Simplify right side
    6,988x = 18,805,017.55
  5. Step 5: Solve for x
    x = 18,805,017.55/6,988
  6. Step 6: Final answer
    x = 2,691.04

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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.