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Finding the Fourth Proportional to 5,928.98, 8,890.49 and 1,978.87

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Solution

The fourth proportional to 5,928.98, 8,890.49 and 1,978.87 is: 2,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.98 : 8,890.49 = 1,978.87 : x
  2. Step 2: Convert to fraction form
    5,928.98/8,890.49 = 1,978.87/x
  3. Step 3: Cross multiply
    5,928.98x = 8,890.49 × 1,978.87
  4. Step 4: Simplify right side
    5,928.98x = 17,593,123.95
  5. Step 5: Solve for x
    x = 17,593,123.95/5,928.98
  6. Step 6: Final answer
    x = 2,967.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.