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Finding the Fourth Proportional to 2,168.76, 3,253.70 and 608.77

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Solution

The fourth proportional to 2,168.76, 3,253.70 and 608.77 is: 913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.76 : 3,253.70 = 608.77 : x
  2. Step 2: Convert to fraction form
    2,168.76/3,253.70 = 608.77/x
  3. Step 3: Cross multiply
    2,168.76x = 3,253.70 × 608.77
  4. Step 4: Simplify right side
    2,168.76x = 1,980,743.77
  5. Step 5: Solve for x
    x = 1,980,743.77/2,168.76
  6. Step 6: Final answer
    x = 913.31

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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.