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Finding the Fourth Proportional to 2,117.15, 3,175.82 and 656.32

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Solution

The fourth proportional to 2,117.15, 3,175.82 and 656.32 is: 984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.15 : 3,175.82 = 656.32 : x
  2. Step 2: Convert to fraction form
    2,117.15/3,175.82 = 656.32/x
  3. Step 3: Cross multiply
    2,117.15x = 3,175.82 × 656.32
  4. Step 4: Simplify right side
    2,117.15x = 2,084,354.18
  5. Step 5: Solve for x
    x = 2,084,354.18/2,117.15
  6. Step 6: Final answer
    x = 984.51

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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.