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Finding the Fourth Proportional to 4,978.16, 6,869.69 and 2,739.98

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Solution

The fourth proportional to 4,978.16, 6,869.69 and 2,739.98 is: 3,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.16 : 6,869.69 = 2,739.98 : x
  2. Step 2: Convert to fraction form
    4,978.16/6,869.69 = 2,739.98/x
  3. Step 3: Cross multiply
    4,978.16x = 6,869.69 × 2,739.98
  4. Step 4: Simplify right side
    4,978.16x = 18,822,765.16
  5. Step 5: Solve for x
    x = 18,822,765.16/4,978.16
  6. Step 6: Final answer
    x = 3,781.07

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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.