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Finding the Fourth Proportional to 2,813.65, 4,219.06 and 938.88

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Solution

The fourth proportional to 2,813.65, 4,219.06 and 938.88 is: 1,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.65 : 4,219.06 = 938.88 : x
  2. Step 2: Convert to fraction form
    2,813.65/4,219.06 = 938.88/x
  3. Step 3: Cross multiply
    2,813.65x = 4,219.06 × 938.88
  4. Step 4: Simplify right side
    2,813.65x = 3,961,191.05
  5. Step 5: Solve for x
    x = 3,961,191.05/2,813.65
  6. Step 6: Final answer
    x = 1,407.85

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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.