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Finding the Fourth Proportional to 7,861.31, 10,853.08 and 5,212.30

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Solution

The fourth proportional to 7,861.31, 10,853.08 and 5,212.30 is: 7,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.31 : 10,853.08 = 5,212.30 : x
  2. Step 2: Convert to fraction form
    7,861.31/10,853.08 = 5,212.30/x
  3. Step 3: Cross multiply
    7,861.31x = 10,853.08 × 5,212.30
  4. Step 4: Simplify right side
    7,861.31x = 56,569,454.62
  5. Step 5: Solve for x
    x = 56,569,454.62/7,861.31
  6. Step 6: Final answer
    x = 7,195.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.