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Finding the Fourth Proportional to 3,342.84, 5,013.42 and 1,781.42

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Solution

The fourth proportional to 3,342.84, 5,013.42 and 1,781.42 is: 2,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.84 : 5,013.42 = 1,781.42 : x
  2. Step 2: Convert to fraction form
    3,342.84/5,013.42 = 1,781.42/x
  3. Step 3: Cross multiply
    3,342.84x = 5,013.42 × 1,781.42
  4. Step 4: Simplify right side
    3,342.84x = 8,931,006.66
  5. Step 5: Solve for x
    x = 8,931,006.66/3,342.84
  6. Step 6: Final answer
    x = 2,671.68

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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.