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Finding the Fourth Proportional to 6,139.42, 9,209.13 and 1,522.42

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Solution

The fourth proportional to 6,139.42, 9,209.13 and 1,522.42 is: 2,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.42 : 9,209.13 = 1,522.42 : x
  2. Step 2: Convert to fraction form
    6,139.42/9,209.13 = 1,522.42/x
  3. Step 3: Cross multiply
    6,139.42x = 9,209.13 × 1,522.42
  4. Step 4: Simplify right side
    6,139.42x = 14,020,163.69
  5. Step 5: Solve for x
    x = 14,020,163.69/6,139.42
  6. Step 6: Final answer
    x = 2,283.63

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Half scale
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Double scale
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Similar ratio
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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.