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Finding the Fourth Proportional to 3,344, 4,615.80 and 2,102

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Solution

The fourth proportional to 3,344, 4,615.80 and 2,102 is: 2,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344 : 4,615.80 = 2,102 : x
  2. Step 2: Convert to fraction form
    3,344/4,615.80 = 2,102/x
  3. Step 3: Cross multiply
    3,344x = 4,615.80 × 2,102
  4. Step 4: Simplify right side
    3,344x = 9,702,411.60
  5. Step 5: Solve for x
    x = 9,702,411.60/3,344
  6. Step 6: Final answer
    x = 2,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.