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Finding the Fourth Proportional to 2,166.16, 3,248.91 and 606

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Solution

The fourth proportional to 2,166.16, 3,248.91 and 606 is: 908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.16 : 3,248.91 = 606 : x
  2. Step 2: Convert to fraction form
    2,166.16/3,248.91 = 606/x
  3. Step 3: Cross multiply
    2,166.16x = 3,248.91 × 606
  4. Step 4: Simplify right side
    2,166.16x = 1,968,839.46
  5. Step 5: Solve for x
    x = 1,968,839.46/2,166.16
  6. Step 6: Final answer
    x = 908.91

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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.