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Finding the Fourth Proportional to 2,117.82, 3,176.66 and 656.94

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Solution

The fourth proportional to 2,117.82, 3,176.66 and 656.94 is: 985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.82 : 3,176.66 = 656.94 : x
  2. Step 2: Convert to fraction form
    2,117.82/3,176.66 = 656.94/x
  3. Step 3: Cross multiply
    2,117.82x = 3,176.66 × 656.94
  4. Step 4: Simplify right side
    2,117.82x = 2,086,875.02
  5. Step 5: Solve for x
    x = 2,086,875.02/2,117.82
  6. Step 6: Final answer
    x = 985.39

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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.