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Finding the Fourth Proportional to 6,149.40, 9,223.11 and 1,765.86

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Solution

The fourth proportional to 6,149.40, 9,223.11 and 1,765.86 is: 2,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.40 : 9,223.11 = 1,765.86 : x
  2. Step 2: Convert to fraction form
    6,149.40/9,223.11 = 1,765.86/x
  3. Step 3: Cross multiply
    6,149.40x = 9,223.11 × 1,765.86
  4. Step 4: Simplify right side
    6,149.40x = 16,286,721.02
  5. Step 5: Solve for x
    x = 16,286,721.02/6,149.40
  6. Step 6: Final answer
    x = 2,648.51

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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.