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Finding the Fourth Proportional to 8,292.56, 12,438.36 and 3,674

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Solution

The fourth proportional to 8,292.56, 12,438.36 and 3,674 is: 5,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.56 : 12,438.36 = 3,674 : x
  2. Step 2: Convert to fraction form
    8,292.56/12,438.36 = 3,674/x
  3. Step 3: Cross multiply
    8,292.56x = 12,438.36 × 3,674
  4. Step 4: Simplify right side
    8,292.56x = 45,698,534.64
  5. Step 5: Solve for x
    x = 45,698,534.64/8,292.56
  6. Step 6: Final answer
    x = 5,510.79

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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.