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Finding the Fourth Proportional to 6,211.08, 8,569.80 and 5,713.20

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Solution

The fourth proportional to 6,211.08, 8,569.80 and 5,713.20 is: 7,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.08 : 8,569.80 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    6,211.08/8,569.80 = 5,713.20/x
  3. Step 3: Cross multiply
    6,211.08x = 8,569.80 × 5,713.20
  4. Step 4: Simplify right side
    6,211.08x = 48,960,981.36
  5. Step 5: Solve for x
    x = 48,960,981.36/6,211.08
  6. Step 6: Final answer
    x = 7,882.85

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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.