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Finding the Fourth Proportional to 2,781.78, 3,838.80 and 1,602.78

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Solution

The fourth proportional to 2,781.78, 3,838.80 and 1,602.78 is: 2,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.78 : 3,838.80 = 1,602.78 : x
  2. Step 2: Convert to fraction form
    2,781.78/3,838.80 = 1,602.78/x
  3. Step 3: Cross multiply
    2,781.78x = 3,838.80 × 1,602.78
  4. Step 4: Simplify right side
    2,781.78x = 6,152,751.86
  5. Step 5: Solve for x
    x = 6,152,751.86/2,781.78
  6. Step 6: Final answer
    x = 2,211.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.