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Finding the Fourth Proportional to 8,472.63, 12,706.65 and 3,541.23

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Solution

The fourth proportional to 8,472.63, 12,706.65 and 3,541.23 is: 5,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.63 : 12,706.65 = 3,541.23 : x
  2. Step 2: Convert to fraction form
    8,472.63/12,706.65 = 3,541.23/x
  3. Step 3: Cross multiply
    8,472.63x = 12,706.65 × 3,541.23
  4. Step 4: Simplify right side
    8,472.63x = 44,997,170.18
  5. Step 5: Solve for x
    x = 44,997,170.18/8,472.63
  6. Step 6: Final answer
    x = 5,310.89

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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.