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Finding the Fourth Proportional to 4,978.24, 6,869.97 and 2,740.20

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Solution

The fourth proportional to 4,978.24, 6,869.97 and 2,740.20 is: 3,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.24 : 6,869.97 = 2,740.20 : x
  2. Step 2: Convert to fraction form
    4,978.24/6,869.97 = 2,740.20/x
  3. Step 3: Cross multiply
    4,978.24x = 6,869.97 × 2,740.20
  4. Step 4: Simplify right side
    4,978.24x = 18,825,066.03
  5. Step 5: Solve for x
    x = 18,825,066.03/4,978.24
  6. Step 6: Final answer
    x = 3,781.47

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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.