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Finding the Fourth Proportional to 6,517.80, 9,776.70 and 2,135.70

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Solution

The fourth proportional to 6,517.80, 9,776.70 and 2,135.70 is: 3,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.80 : 9,776.70 = 2,135.70 : x
  2. Step 2: Convert to fraction form
    6,517.80/9,776.70 = 2,135.70/x
  3. Step 3: Cross multiply
    6,517.80x = 9,776.70 × 2,135.70
  4. Step 4: Simplify right side
    6,517.80x = 20,880,098.19
  5. Step 5: Solve for x
    x = 20,880,098.19/6,517.80
  6. Step 6: Final answer
    x = 3,203.55

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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.