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Finding the Fourth Proportional to 2,117.73, 3,176.90 and 801.97

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Solution

The fourth proportional to 2,117.73, 3,176.90 and 801.97 is: 1,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.73 : 3,176.90 = 801.97 : x
  2. Step 2: Convert to fraction form
    2,117.73/3,176.90 = 801.97/x
  3. Step 3: Cross multiply
    2,117.73x = 3,176.90 × 801.97
  4. Step 4: Simplify right side
    2,117.73x = 2,547,774.06
  5. Step 5: Solve for x
    x = 2,547,774.06/2,117.73
  6. Step 6: Final answer
    x = 1,203.07

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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.