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Finding the Fourth Proportional to 2,101.72, 3,152.40 and 641.20

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Solution

The fourth proportional to 2,101.72, 3,152.40 and 641.20 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.72 : 3,152.40 = 641.20 : x
  2. Step 2: Convert to fraction form
    2,101.72/3,152.40 = 641.20/x
  3. Step 3: Cross multiply
    2,101.72x = 3,152.40 × 641.20
  4. Step 4: Simplify right side
    2,101.72x = 2,021,318.88
  5. Step 5: Solve for x
    x = 2,021,318.88/2,101.72
  6. Step 6: Final answer
    x = 961.75

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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.