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Finding the Fourth Proportional to 8,247.44, 12,368.12 and 5,781

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Solution

The fourth proportional to 8,247.44, 12,368.12 and 5,781 is: 8,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.44 : 12,368.12 = 5,781 : x
  2. Step 2: Convert to fraction form
    8,247.44/12,368.12 = 5,781/x
  3. Step 3: Cross multiply
    8,247.44x = 12,368.12 × 5,781
  4. Step 4: Simplify right side
    8,247.44x = 71,500,101.72
  5. Step 5: Solve for x
    x = 71,500,101.72/8,247.44
  6. Step 6: Final answer
    x = 8,669.37

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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.