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Finding the Fourth Proportional to 2,881.44, 3,978.30 and 2,217.12

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Solution

The fourth proportional to 2,881.44, 3,978.30 and 2,217.12 is: 3,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.44 : 3,978.30 = 2,217.12 : x
  2. Step 2: Convert to fraction form
    2,881.44/3,978.30 = 2,217.12/x
  3. Step 3: Cross multiply
    2,881.44x = 3,978.30 × 2,217.12
  4. Step 4: Simplify right side
    2,881.44x = 8,820,368.50
  5. Step 5: Solve for x
    x = 8,820,368.50/2,881.44
  6. Step 6: Final answer
    x = 3,061.10

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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.