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Finding the Fourth Proportional to 8,411.68, 12,622.76 and 3,480.40

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Solution

The fourth proportional to 8,411.68, 12,622.76 and 3,480.40 is: 5,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.68 : 12,622.76 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    8,411.68/12,622.76 = 3,480.40/x
  3. Step 3: Cross multiply
    8,411.68x = 12,622.76 × 3,480.40
  4. Step 4: Simplify right side
    8,411.68x = 43,932,253.90
  5. Step 5: Solve for x
    x = 43,932,253.90/8,411.68
  6. Step 6: Final answer
    x = 5,222.77

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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.