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Finding the Fourth Proportional to 2,117.93, 3,176.91 and 657.18

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Solution

The fourth proportional to 2,117.93, 3,176.91 and 657.18 is: 985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.93 : 3,176.91 = 657.18 : x
  2. Step 2: Convert to fraction form
    2,117.93/3,176.91 = 657.18/x
  3. Step 3: Cross multiply
    2,117.93x = 3,176.91 × 657.18
  4. Step 4: Simplify right side
    2,117.93x = 2,087,801.71
  5. Step 5: Solve for x
    x = 2,087,801.71/2,117.93
  6. Step 6: Final answer
    x = 985.78

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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.