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Finding the Fourth Proportional to 8,601.76, 11,871.12 and 5,806.24

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Solution

The fourth proportional to 8,601.76, 11,871.12 and 5,806.24 is: 8,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.76 : 11,871.12 = 5,806.24 : x
  2. Step 2: Convert to fraction form
    8,601.76/11,871.12 = 5,806.24/x
  3. Step 3: Cross multiply
    8,601.76x = 11,871.12 × 5,806.24
  4. Step 4: Simplify right side
    8,601.76x = 68,926,571.79
  5. Step 5: Solve for x
    x = 68,926,571.79/8,601.76
  6. Step 6: Final answer
    x = 8,013.08

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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.