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Finding the Fourth Proportional to 2,242.80, 3,363.12 and 855.72

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Solution

The fourth proportional to 2,242.80, 3,363.12 and 855.72 is: 1,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.80 : 3,363.12 = 855.72 : x
  2. Step 2: Convert to fraction form
    2,242.80/3,363.12 = 855.72/x
  3. Step 3: Cross multiply
    2,242.80x = 3,363.12 × 855.72
  4. Step 4: Simplify right side
    2,242.80x = 2,877,889.05
  5. Step 5: Solve for x
    x = 2,877,889.05/2,242.80
  6. Step 6: Final answer
    x = 1,283.17

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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.