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Finding the Fourth Proportional to 2,990, 4,486.62 and 1,451

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Solution

The fourth proportional to 2,990, 4,486.62 and 1,451 is: 2,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990 : 4,486.62 = 1,451 : x
  2. Step 2: Convert to fraction form
    2,990/4,486.62 = 1,451/x
  3. Step 3: Cross multiply
    2,990x = 4,486.62 × 1,451
  4. Step 4: Simplify right side
    2,990x = 6,510,085.62
  5. Step 5: Solve for x
    x = 6,510,085.62/2,990
  6. Step 6: Final answer
    x = 2,177.29

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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.