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Finding the Fourth Proportional to 18,893.76, 28,339.16 and 5,746.11

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Solution

The fourth proportional to 18,893.76, 28,339.16 and 5,746.11 is: 8,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,893.76 : 28,339.16 = 5,746.11 : x
  2. Step 2: Convert to fraction form
    18,893.76/28,339.16 = 5,746.11/x
  3. Step 3: Cross multiply
    18,893.76x = 28,339.16 × 5,746.11
  4. Step 4: Simplify right side
    18,893.76x = 162,839,901.94
  5. Step 5: Solve for x
    x = 162,839,901.94/18,893.76
  6. Step 6: Final answer
    x = 8,618.71

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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.