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Finding the Fourth Proportional to 2,781.12, 3,838.12 and 1,602.16

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Solution

The fourth proportional to 2,781.12, 3,838.12 and 1,602.16 is: 2,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.12 : 3,838.12 = 1,602.16 : x
  2. Step 2: Convert to fraction form
    2,781.12/3,838.12 = 1,602.16/x
  3. Step 3: Cross multiply
    2,781.12x = 3,838.12 × 1,602.16
  4. Step 4: Simplify right side
    2,781.12x = 6,149,282.34
  5. Step 5: Solve for x
    x = 6,149,282.34/2,781.12
  6. Step 6: Final answer
    x = 2,211.08

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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.