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Finding the Fourth Proportional to 2,373.22, 3,559.84 and 641.85

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Solution

The fourth proportional to 2,373.22, 3,559.84 and 641.85 is: 962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.22 : 3,559.84 = 641.85 : x
  2. Step 2: Convert to fraction form
    2,373.22/3,559.84 = 641.85/x
  3. Step 3: Cross multiply
    2,373.22x = 3,559.84 × 641.85
  4. Step 4: Simplify right side
    2,373.22x = 2,284,868.35
  5. Step 5: Solve for x
    x = 2,284,868.35/2,373.22
  6. Step 6: Final answer
    x = 962.77

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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.