Home / 2,117.29-3,176.40-656.45

Finding the Fourth Proportional to 2,117.29, 3,176.40 and 656.45

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Solution

The fourth proportional to 2,117.29, 3,176.40 and 656.45 is: 984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.29 : 3,176.40 = 656.45 : x
  2. Step 2: Convert to fraction form
    2,117.29/3,176.40 = 656.45/x
  3. Step 3: Cross multiply
    2,117.29x = 3,176.40 × 656.45
  4. Step 4: Simplify right side
    2,117.29x = 2,085,147.78
  5. Step 5: Solve for x
    x = 2,085,147.78/2,117.29
  6. Step 6: Final answer
    x = 984.82

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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.