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Finding the Fourth Proportional to 8,237.12, 12,344.16 and 5,917.76

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Solution

The fourth proportional to 8,237.12, 12,344.16 and 5,917.76 is: 8,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.12 : 12,344.16 = 5,917.76 : x
  2. Step 2: Convert to fraction form
    8,237.12/12,344.16 = 5,917.76/x
  3. Step 3: Cross multiply
    8,237.12x = 12,344.16 × 5,917.76
  4. Step 4: Simplify right side
    8,237.12x = 73,049,776.28
  5. Step 5: Solve for x
    x = 73,049,776.28/8,237.12
  6. Step 6: Final answer
    x = 8,868.36

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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.