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Finding the Fourth Proportional to 2,954.38, 4,430.28 and 874.55

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Solution

The fourth proportional to 2,954.38, 4,430.28 and 874.55 is: 1,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.38 : 4,430.28 = 874.55 : x
  2. Step 2: Convert to fraction form
    2,954.38/4,430.28 = 874.55/x
  3. Step 3: Cross multiply
    2,954.38x = 4,430.28 × 874.55
  4. Step 4: Simplify right side
    2,954.38x = 3,874,498.35
  5. Step 5: Solve for x
    x = 3,874,498.35/2,954.38
  6. Step 6: Final answer
    x = 1,311.44

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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.