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Finding the Fourth Proportional to 5,990.87, 8,987.78 and 1,830.95

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Solution

The fourth proportional to 5,990.87, 8,987.78 and 1,830.95 is: 2,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.87 : 8,987.78 = 1,830.95 : x
  2. Step 2: Convert to fraction form
    5,990.87/8,987.78 = 1,830.95/x
  3. Step 3: Cross multiply
    5,990.87x = 8,987.78 × 1,830.95
  4. Step 4: Simplify right side
    5,990.87x = 16,456,166.64
  5. Step 5: Solve for x
    x = 16,456,166.64/5,990.87
  6. Step 6: Final answer
    x = 2,746.87

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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.