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Finding the Fourth Proportional to 8,240, 12,364.73 and 8,173.13

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Solution

The fourth proportional to 8,240, 12,364.73 and 8,173.13 is: 12,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240 : 12,364.73 = 8,173.13 : x
  2. Step 2: Convert to fraction form
    8,240/12,364.73 = 8,173.13/x
  3. Step 3: Cross multiply
    8,240x = 12,364.73 × 8,173.13
  4. Step 4: Simplify right side
    8,240x = 101,058,545.70
  5. Step 5: Solve for x
    x = 101,058,545.70/8,240
  6. Step 6: Final answer
    x = 12,264.39

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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.