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Finding the Fourth Proportional to 3,838.47, 5,748.26 and 2,447.70

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Solution

The fourth proportional to 3,838.47, 5,748.26 and 2,447.70 is: 3,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,748.26 = 2,447.70 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,748.26 = 2,447.70/x
  3. Step 3: Cross multiply
    3,838.47x = 5,748.26 × 2,447.70
  4. Step 4: Simplify right side
    3,838.47x = 14,070,003.76
  5. Step 5: Solve for x
    x = 14,070,003.76/3,838.47
  6. Step 6: Final answer
    x = 3,665.52

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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.