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Finding the Fourth Proportional to 8,363.10, 12,533.70 and 4,207.80

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Solution

The fourth proportional to 8,363.10, 12,533.70 and 4,207.80 is: 6,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.10 : 12,533.70 = 4,207.80 : x
  2. Step 2: Convert to fraction form
    8,363.10/12,533.70 = 4,207.80/x
  3. Step 3: Cross multiply
    8,363.10x = 12,533.70 × 4,207.80
  4. Step 4: Simplify right side
    8,363.10x = 52,739,302.86
  5. Step 5: Solve for x
    x = 52,739,302.86/8,363.10
  6. Step 6: Final answer
    x = 6,306.19

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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.