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Finding the Fourth Proportional to 7,247.68, 10,871.52 and 3,784.12

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Solution

The fourth proportional to 7,247.68, 10,871.52 and 3,784.12 is: 5,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.68 : 10,871.52 = 3,784.12 : x
  2. Step 2: Convert to fraction form
    7,247.68/10,871.52 = 3,784.12/x
  3. Step 3: Cross multiply
    7,247.68x = 10,871.52 × 3,784.12
  4. Step 4: Simplify right side
    7,247.68x = 41,139,136.26
  5. Step 5: Solve for x
    x = 41,139,136.26/7,247.68
  6. Step 6: Final answer
    x = 5,676.18

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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.