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Finding the Fourth Proportional to 4,978.66, 6,869.69 and 2,990.31

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Solution

The fourth proportional to 4,978.66, 6,869.69 and 2,990.31 is: 4,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.66 : 6,869.69 = 2,990.31 : x
  2. Step 2: Convert to fraction form
    4,978.66/6,869.69 = 2,990.31/x
  3. Step 3: Cross multiply
    4,978.66x = 6,869.69 × 2,990.31
  4. Step 4: Simplify right side
    4,978.66x = 20,542,502.70
  5. Step 5: Solve for x
    x = 20,542,502.70/4,978.66
  6. Step 6: Final answer
    x = 4,126.11

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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.