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Finding the Fourth Proportional to 2,117.52, 3,175.05 and 817.47

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Solution

The fourth proportional to 2,117.52, 3,175.05 and 817.47 is: 1,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.52 : 3,175.05 = 817.47 : x
  2. Step 2: Convert to fraction form
    2,117.52/3,175.05 = 817.47/x
  3. Step 3: Cross multiply
    2,117.52x = 3,175.05 × 817.47
  4. Step 4: Simplify right side
    2,117.52x = 2,595,508.12
  5. Step 5: Solve for x
    x = 2,595,508.12/2,117.52
  6. Step 6: Final answer
    x = 1,225.73

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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.