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Finding the Fourth Proportional to 6,649.29, 9,972.85 and 3,139.29

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Solution

The fourth proportional to 6,649.29, 9,972.85 and 3,139.29 is: 4,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.29 : 9,972.85 = 3,139.29 : x
  2. Step 2: Convert to fraction form
    6,649.29/9,972.85 = 3,139.29/x
  3. Step 3: Cross multiply
    6,649.29x = 9,972.85 × 3,139.29
  4. Step 4: Simplify right side
    6,649.29x = 31,307,676.12
  5. Step 5: Solve for x
    x = 31,307,676.12/6,649.29
  6. Step 6: Final answer
    x = 4,708.42

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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.