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Finding the Fourth Proportional to 6,139.67, 9,209.72 and 1,697.66

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Solution

The fourth proportional to 6,139.67, 9,209.72 and 1,697.66 is: 2,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.67 : 9,209.72 = 1,697.66 : x
  2. Step 2: Convert to fraction form
    6,139.67/9,209.72 = 1,697.66/x
  3. Step 3: Cross multiply
    6,139.67x = 9,209.72 × 1,697.66
  4. Step 4: Simplify right side
    6,139.67x = 15,634,973.26
  5. Step 5: Solve for x
    x = 15,634,973.26/6,139.67
  6. Step 6: Final answer
    x = 2,546.55

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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.