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Finding the Fourth Proportional to 2,377.17, 3,566.10 and 817.57

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Solution

The fourth proportional to 2,377.17, 3,566.10 and 817.57 is: 1,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.17 : 3,566.10 = 817.57 : x
  2. Step 2: Convert to fraction form
    2,377.17/3,566.10 = 817.57/x
  3. Step 3: Cross multiply
    2,377.17x = 3,566.10 × 817.57
  4. Step 4: Simplify right side
    2,377.17x = 2,915,536.38
  5. Step 5: Solve for x
    x = 2,915,536.38/2,377.17
  6. Step 6: Final answer
    x = 1,226.47

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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.