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Finding the Fourth Proportional to 6,142.80, 9,211.95 and 1,983.90

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Solution

The fourth proportional to 6,142.80, 9,211.95 and 1,983.90 is: 2,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.80 : 9,211.95 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    6,142.80/9,211.95 = 1,983.90/x
  3. Step 3: Cross multiply
    6,142.80x = 9,211.95 × 1,983.90
  4. Step 4: Simplify right side
    6,142.80x = 18,275,587.61
  5. Step 5: Solve for x
    x = 18,275,587.61/6,142.80
  6. Step 6: Final answer
    x = 2,975.12

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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.