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Finding the Fourth Proportional to 6,876.80, 10,307.84 and 3,174.72

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Solution

The fourth proportional to 6,876.80, 10,307.84 and 3,174.72 is: 4,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.80 : 10,307.84 = 3,174.72 : x
  2. Step 2: Convert to fraction form
    6,876.80/10,307.84 = 3,174.72/x
  3. Step 3: Cross multiply
    6,876.80x = 10,307.84 × 3,174.72
  4. Step 4: Simplify right side
    6,876.80x = 32,724,505.80
  5. Step 5: Solve for x
    x = 32,724,505.80/6,876.80
  6. Step 6: Final answer
    x = 4,758.68

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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.