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Finding the Fourth Proportional to 4,978.68, 6,868.80 and 2,989.80

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Solution

The fourth proportional to 4,978.68, 6,868.80 and 2,989.80 is: 4,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.68 : 6,868.80 = 2,989.80 : x
  2. Step 2: Convert to fraction form
    4,978.68/6,868.80 = 2,989.80/x
  3. Step 3: Cross multiply
    4,978.68x = 6,868.80 × 2,989.80
  4. Step 4: Simplify right side
    4,978.68x = 20,536,338.24
  5. Step 5: Solve for x
    x = 20,536,338.24/4,978.68
  6. Step 6: Final answer
    x = 4,124.86

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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.