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Finding the Fourth Proportional to 2,117.89, 3,177.14 and 657.16

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Solution

The fourth proportional to 2,117.89, 3,177.14 and 657.16 is: 985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.89 : 3,177.14 = 657.16 : x
  2. Step 2: Convert to fraction form
    2,117.89/3,177.14 = 657.16/x
  3. Step 3: Cross multiply
    2,117.89x = 3,177.14 × 657.16
  4. Step 4: Simplify right side
    2,117.89x = 2,087,889.32
  5. Step 5: Solve for x
    x = 2,087,889.32/2,117.89
  6. Step 6: Final answer
    x = 985.83

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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.