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Finding the Fourth Proportional to 3,008.80, 4,513.43 and 817.48

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Solution

The fourth proportional to 3,008.80, 4,513.43 and 817.48 is: 1,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.80 : 4,513.43 = 817.48 : x
  2. Step 2: Convert to fraction form
    3,008.80/4,513.43 = 817.48/x
  3. Step 3: Cross multiply
    3,008.80x = 4,513.43 × 817.48
  4. Step 4: Simplify right side
    3,008.80x = 3,689,638.76
  5. Step 5: Solve for x
    x = 3,689,638.76/3,008.80
  6. Step 6: Final answer
    x = 1,226.28

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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.