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Finding the Fourth Proportional to 8,423.62, 12,638.70 and 3,492

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Solution

The fourth proportional to 8,423.62, 12,638.70 and 3,492 is: 5,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.62 : 12,638.70 = 3,492 : x
  2. Step 2: Convert to fraction form
    8,423.62/12,638.70 = 3,492/x
  3. Step 3: Cross multiply
    8,423.62x = 12,638.70 × 3,492
  4. Step 4: Simplify right side
    8,423.62x = 44,134,340.40
  5. Step 5: Solve for x
    x = 44,134,340.40/8,423.62
  6. Step 6: Final answer
    x = 5,239.36

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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.