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Finding the Fourth Proportional to 2,117.79, 3,176.56 and 636.98

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Solution

The fourth proportional to 2,117.79, 3,176.56 and 636.98 is: 955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.79 : 3,176.56 = 636.98 : x
  2. Step 2: Convert to fraction form
    2,117.79/3,176.56 = 636.98/x
  3. Step 3: Cross multiply
    2,117.79x = 3,176.56 × 636.98
  4. Step 4: Simplify right side
    2,117.79x = 2,023,404.39
  5. Step 5: Solve for x
    x = 2,023,404.39/2,117.79
  6. Step 6: Final answer
    x = 955.43

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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.