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Finding the Fourth Proportional to 7,871.76, 10,861.87 and 4,468.24

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Solution

The fourth proportional to 7,871.76, 10,861.87 and 4,468.24 is: 6,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.76 : 10,861.87 = 4,468.24 : x
  2. Step 2: Convert to fraction form
    7,871.76/10,861.87 = 4,468.24/x
  3. Step 3: Cross multiply
    7,871.76x = 10,861.87 × 4,468.24
  4. Step 4: Simplify right side
    7,871.76x = 48,533,365.36
  5. Step 5: Solve for x
    x = 48,533,365.36/7,871.76
  6. Step 6: Final answer
    x = 6,165.51

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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.