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Finding the Fourth Proportional to 8,274.30, 12,411.45 and 4,114.95

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Solution

The fourth proportional to 8,274.30, 12,411.45 and 4,114.95 is: 6,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.30 : 12,411.45 = 4,114.95 : x
  2. Step 2: Convert to fraction form
    8,274.30/12,411.45 = 4,114.95/x
  3. Step 3: Cross multiply
    8,274.30x = 12,411.45 × 4,114.95
  4. Step 4: Simplify right side
    8,274.30x = 51,072,496.18
  5. Step 5: Solve for x
    x = 51,072,496.18/8,274.30
  6. Step 6: Final answer
    x = 6,172.43

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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.