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Finding the Fourth Proportional to 5,578.80, 7,698.49 and 3,060.86

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Solution

The fourth proportional to 5,578.80, 7,698.49 and 3,060.86 is: 4,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.80 : 7,698.49 = 3,060.86 : x
  2. Step 2: Convert to fraction form
    5,578.80/7,698.49 = 3,060.86/x
  3. Step 3: Cross multiply
    5,578.80x = 7,698.49 × 3,060.86
  4. Step 4: Simplify right side
    5,578.80x = 23,564,000.10
  5. Step 5: Solve for x
    x = 23,564,000.10/5,578.80
  6. Step 6: Final answer
    x = 4,223.85

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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.