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Finding the Fourth Proportional to 7,871.76, 10,861.11 and 5,182.68

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Solution

The fourth proportional to 7,871.76, 10,861.11 and 5,182.68 is: 7,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.76 : 10,861.11 = 5,182.68 : x
  2. Step 2: Convert to fraction form
    7,871.76/10,861.11 = 5,182.68/x
  3. Step 3: Cross multiply
    7,871.76x = 10,861.11 × 5,182.68
  4. Step 4: Simplify right side
    7,871.76x = 56,289,657.57
  5. Step 5: Solve for x
    x = 56,289,657.57/7,871.76
  6. Step 6: Final answer
    x = 7,150.84

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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.