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Finding the Fourth Proportional to 3,097.86, 4,640.58 and 1,864.58

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Solution

The fourth proportional to 3,097.86, 4,640.58 and 1,864.58 is: 2,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.86 : 4,640.58 = 1,864.58 : x
  2. Step 2: Convert to fraction form
    3,097.86/4,640.58 = 1,864.58/x
  3. Step 3: Cross multiply
    3,097.86x = 4,640.58 × 1,864.58
  4. Step 4: Simplify right side
    3,097.86x = 8,652,709.45
  5. Step 5: Solve for x
    x = 8,652,709.45/3,097.86
  6. Step 6: Final answer
    x = 2,793.12

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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.