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Finding the Fourth Proportional to 2,984.40, 4,479.02 and 1,523.97

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Solution

The fourth proportional to 2,984.40, 4,479.02 and 1,523.97 is: 2,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.40 : 4,479.02 = 1,523.97 : x
  2. Step 2: Convert to fraction form
    2,984.40/4,479.02 = 1,523.97/x
  3. Step 3: Cross multiply
    2,984.40x = 4,479.02 × 1,523.97
  4. Step 4: Simplify right side
    2,984.40x = 6,825,892.11
  5. Step 5: Solve for x
    x = 6,825,892.11/2,984.40
  6. Step 6: Final answer
    x = 2,287.19

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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.