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Finding the Fourth Proportional to 3,010.73, 4,516.10 and 819.40

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Solution

The fourth proportional to 3,010.73, 4,516.10 and 819.40 is: 1,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.73 : 4,516.10 = 819.40 : x
  2. Step 2: Convert to fraction form
    3,010.73/4,516.10 = 819.40/x
  3. Step 3: Cross multiply
    3,010.73x = 4,516.10 × 819.40
  4. Step 4: Simplify right side
    3,010.73x = 3,700,492.34
  5. Step 5: Solve for x
    x = 3,700,492.34/3,010.73
  6. Step 6: Final answer
    x = 1,229.10

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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.