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Finding the Fourth Proportional to 2,220.52, 3,064.04 and 1,380

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Solution

The fourth proportional to 2,220.52, 3,064.04 and 1,380 is: 1,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.52 : 3,064.04 = 1,380 : x
  2. Step 2: Convert to fraction form
    2,220.52/3,064.04 = 1,380/x
  3. Step 3: Cross multiply
    2,220.52x = 3,064.04 × 1,380
  4. Step 4: Simplify right side
    2,220.52x = 4,228,375.20
  5. Step 5: Solve for x
    x = 4,228,375.20/2,220.52
  6. Step 6: Final answer
    x = 1,904.23

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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.