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Finding the Fourth Proportional to 8,138.10, 12,211.20 and 4,630.80

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Solution

The fourth proportional to 8,138.10, 12,211.20 and 4,630.80 is: 6,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.10 : 12,211.20 = 4,630.80 : x
  2. Step 2: Convert to fraction form
    8,138.10/12,211.20 = 4,630.80/x
  3. Step 3: Cross multiply
    8,138.10x = 12,211.20 × 4,630.80
  4. Step 4: Simplify right side
    8,138.10x = 56,547,624.96
  5. Step 5: Solve for x
    x = 56,547,624.96/8,138.10
  6. Step 6: Final answer
    x = 6,948.50

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1.5x scale

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.