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Finding the Fourth Proportional to 6,686.57, 9,231.95 and 4,169.70

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Solution

The fourth proportional to 6,686.57, 9,231.95 and 4,169.70 is: 5,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.57 : 9,231.95 = 4,169.70 : x
  2. Step 2: Convert to fraction form
    6,686.57/9,231.95 = 4,169.70/x
  3. Step 3: Cross multiply
    6,686.57x = 9,231.95 × 4,169.70
  4. Step 4: Simplify right side
    6,686.57x = 38,494,472.34
  5. Step 5: Solve for x
    x = 38,494,472.34/6,686.57
  6. Step 6: Final answer
    x = 5,756.98

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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.