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Finding the Fourth Proportional to 4,978.80, 6,866.37 and 2,988.63

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Solution

The fourth proportional to 4,978.80, 6,866.37 and 2,988.63 is: 4,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.80 : 6,866.37 = 2,988.63 : x
  2. Step 2: Convert to fraction form
    4,978.80/6,866.37 = 2,988.63/x
  3. Step 3: Cross multiply
    4,978.80x = 6,866.37 × 2,988.63
  4. Step 4: Simplify right side
    4,978.80x = 20,521,039.37
  5. Step 5: Solve for x
    x = 20,521,039.37/4,978.80
  6. Step 6: Final answer
    x = 4,121.68

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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.