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Finding the Fourth Proportional to 3,717.41, 5,128.92 and 2,124

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Solution

The fourth proportional to 3,717.41, 5,128.92 and 2,124 is: 2,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.41 : 5,128.92 = 2,124 : x
  2. Step 2: Convert to fraction form
    3,717.41/5,128.92 = 2,124/x
  3. Step 3: Cross multiply
    3,717.41x = 5,128.92 × 2,124
  4. Step 4: Simplify right side
    3,717.41x = 10,893,826.08
  5. Step 5: Solve for x
    x = 10,893,826.08/3,717.41
  6. Step 6: Final answer
    x = 2,930.49

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