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Finding the Fourth Proportional to 2,102.48, 3,152.74 and 641.32

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Solution

The fourth proportional to 2,102.48, 3,152.74 and 641.32 is: 961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.48 : 3,152.74 = 641.32 : x
  2. Step 2: Convert to fraction form
    2,102.48/3,152.74 = 641.32/x
  3. Step 3: Cross multiply
    2,102.48x = 3,152.74 × 641.32
  4. Step 4: Simplify right side
    2,102.48x = 2,021,915.22
  5. Step 5: Solve for x
    x = 2,021,915.22/2,102.48
  6. Step 6: Final answer
    x = 961.68

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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.