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Finding the Fourth Proportional to 6,876.63, 10,314.95 and 3,178.17

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Solution

The fourth proportional to 6,876.63, 10,314.95 and 3,178.17 is: 4,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.63 : 10,314.95 = 3,178.17 : x
  2. Step 2: Convert to fraction form
    6,876.63/10,314.95 = 3,178.17/x
  3. Step 3: Cross multiply
    6,876.63x = 10,314.95 × 3,178.17
  4. Step 4: Simplify right side
    6,876.63x = 32,782,648.75
  5. Step 5: Solve for x
    x = 32,782,648.75/6,876.63
  6. Step 6: Final answer
    x = 4,767.26

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Similar ratio
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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.