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Finding the Fourth Proportional to 3,674, 5,070.24 and 2,102

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Solution

The fourth proportional to 3,674, 5,070.24 and 2,102 is: 2,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674 : 5,070.24 = 2,102 : x
  2. Step 2: Convert to fraction form
    3,674/5,070.24 = 2,102/x
  3. Step 3: Cross multiply
    3,674x = 5,070.24 × 2,102
  4. Step 4: Simplify right side
    3,674x = 10,657,644.48
  5. Step 5: Solve for x
    x = 10,657,644.48/3,674
  6. Step 6: Final answer
    x = 2,900.83

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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.