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Finding the Fourth Proportional to 2,974.05, 4,462.70 and 1,878.93

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Solution

The fourth proportional to 2,974.05, 4,462.70 and 1,878.93 is: 2,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.05 : 4,462.70 = 1,878.93 : x
  2. Step 2: Convert to fraction form
    2,974.05/4,462.70 = 1,878.93/x
  3. Step 3: Cross multiply
    2,974.05x = 4,462.70 × 1,878.93
  4. Step 4: Simplify right side
    2,974.05x = 8,385,091.52
  5. Step 5: Solve for x
    x = 8,385,091.52/2,974.05
  6. Step 6: Final answer
    x = 2,819.42

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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.