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Finding the Fourth Proportional to 2,117.16, 3,175.47 and 656.28

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Solution

The fourth proportional to 2,117.16, 3,175.47 and 656.28 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.16 : 3,175.47 = 656.28 : x
  2. Step 2: Convert to fraction form
    2,117.16/3,175.47 = 656.28/x
  3. Step 3: Cross multiply
    2,117.16x = 3,175.47 × 656.28
  4. Step 4: Simplify right side
    2,117.16x = 2,083,997.45
  5. Step 5: Solve for x
    x = 2,083,997.45/2,117.16
  6. Step 6: Final answer
    x = 984.34

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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.