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Finding the Fourth Proportional to 6,649.85, 9,973.70 and 3,139.85

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Solution

The fourth proportional to 6,649.85, 9,973.70 and 3,139.85 is: 4,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.85 : 9,973.70 = 3,139.85 : x
  2. Step 2: Convert to fraction form
    6,649.85/9,973.70 = 3,139.85/x
  3. Step 3: Cross multiply
    6,649.85x = 9,973.70 × 3,139.85
  4. Step 4: Simplify right side
    6,649.85x = 31,315,906.25
  5. Step 5: Solve for x
    x = 31,315,906.25/6,649.85
  6. Step 6: Final answer
    x = 4,709.27

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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.