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Finding the Fourth Proportional to 6,139.53, 9,209.07 and 3,657.90

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Solution

The fourth proportional to 6,139.53, 9,209.07 and 3,657.90 is: 5,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.53 : 9,209.07 = 3,657.90 : x
  2. Step 2: Convert to fraction form
    6,139.53/9,209.07 = 3,657.90/x
  3. Step 3: Cross multiply
    6,139.53x = 9,209.07 × 3,657.90
  4. Step 4: Simplify right side
    6,139.53x = 33,685,857.15
  5. Step 5: Solve for x
    x = 33,685,857.15/6,139.53
  6. Step 6: Final answer
    x = 5,486.72

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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.