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Finding the Fourth Proportional to 7,871.80, 10,861.94 and 5,041.66

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Solution

The fourth proportional to 7,871.80, 10,861.94 and 5,041.66 is: 6,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.80 : 10,861.94 = 5,041.66 : x
  2. Step 2: Convert to fraction form
    7,871.80/10,861.94 = 5,041.66/x
  3. Step 3: Cross multiply
    7,871.80x = 10,861.94 × 5,041.66
  4. Step 4: Simplify right side
    7,871.80x = 54,762,208.42
  5. Step 5: Solve for x
    x = 54,762,208.42/7,871.80
  6. Step 6: Final answer
    x = 6,956.76

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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.