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Finding the Fourth Proportional to 3,320.38, 4,978.14 and 2,987.47

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Solution

The fourth proportional to 3,320.38, 4,978.14 and 2,987.47 is: 4,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.38 : 4,978.14 = 2,987.47 : x
  2. Step 2: Convert to fraction form
    3,320.38/4,978.14 = 2,987.47/x
  3. Step 3: Cross multiply
    3,320.38x = 4,978.14 × 2,987.47
  4. Step 4: Simplify right side
    3,320.38x = 14,872,043.91
  5. Step 5: Solve for x
    x = 14,872,043.91/3,320.38
  6. Step 6: Final answer
    x = 4,479.02

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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.