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Finding the Fourth Proportional to 2,776.38, 4,164.80 and 876.57

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Solution

The fourth proportional to 2,776.38, 4,164.80 and 876.57 is: 1,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.38 : 4,164.80 = 876.57 : x
  2. Step 2: Convert to fraction form
    2,776.38/4,164.80 = 876.57/x
  3. Step 3: Cross multiply
    2,776.38x = 4,164.80 × 876.57
  4. Step 4: Simplify right side
    2,776.38x = 3,650,734.35
  5. Step 5: Solve for x
    x = 3,650,734.35/2,776.38
  6. Step 6: Final answer
    x = 1,314.93

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1.5x scale

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.