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Finding the Fourth Proportional to 2,117.78, 3,176.40 and 656.90

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Solution

The fourth proportional to 2,117.78, 3,176.40 and 656.90 is: 985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.78 : 3,176.40 = 656.90 : x
  2. Step 2: Convert to fraction form
    2,117.78/3,176.40 = 656.90/x
  3. Step 3: Cross multiply
    2,117.78x = 3,176.40 × 656.90
  4. Step 4: Simplify right side
    2,117.78x = 2,086,577.16
  5. Step 5: Solve for x
    x = 2,086,577.16/2,117.78
  6. Step 6: Final answer
    x = 985.27

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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.