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Finding the Fourth Proportional to 8,240.89, 12,363.65 and 3,314

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Solution

The fourth proportional to 8,240.89, 12,363.65 and 3,314 is: 4,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.89 : 12,363.65 = 3,314 : x
  2. Step 2: Convert to fraction form
    8,240.89/12,363.65 = 3,314/x
  3. Step 3: Cross multiply
    8,240.89x = 12,363.65 × 3,314
  4. Step 4: Simplify right side
    8,240.89x = 40,973,136.10
  5. Step 5: Solve for x
    x = 40,973,136.10/8,240.89
  6. Step 6: Final answer
    x = 4,971.93

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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.