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Finding the Fourth Proportional to 2,984.68, 4,470.20 and 1,425.78

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Solution

The fourth proportional to 2,984.68, 4,470.20 and 1,425.78 is: 2,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.68 : 4,470.20 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    2,984.68/4,470.20 = 1,425.78/x
  3. Step 3: Cross multiply
    2,984.68x = 4,470.20 × 1,425.78
  4. Step 4: Simplify right side
    2,984.68x = 6,373,521.76
  5. Step 5: Solve for x
    x = 6,373,521.76/2,984.68
  6. Step 6: Final answer
    x = 2,135.41

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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.