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Finding the Fourth Proportional to 7,871.44, 11,786.10 and 6,165.76

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Solution

The fourth proportional to 7,871.44, 11,786.10 and 6,165.76 is: 9,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.44 : 11,786.10 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    7,871.44/11,786.10 = 6,165.76/x
  3. Step 3: Cross multiply
    7,871.44x = 11,786.10 × 6,165.76
  4. Step 4: Simplify right side
    7,871.44x = 72,670,263.94
  5. Step 5: Solve for x
    x = 72,670,263.94/7,871.44
  6. Step 6: Final answer
    x = 9,232.14

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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.