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Finding the Fourth Proportional to 2,278.33, 3,417.53 and 817.49

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Solution

The fourth proportional to 2,278.33, 3,417.53 and 817.49 is: 1,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.33 : 3,417.53 = 817.49 : x
  2. Step 2: Convert to fraction form
    2,278.33/3,417.53 = 817.49/x
  3. Step 3: Cross multiply
    2,278.33x = 3,417.53 × 817.49
  4. Step 4: Simplify right side
    2,278.33x = 2,793,801.06
  5. Step 5: Solve for x
    x = 2,793,801.06/2,278.33
  6. Step 6: Final answer
    x = 1,226.25

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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.