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Finding the Fourth Proportional to 6,186, 9,255.75 and 4,340.72

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Solution

The fourth proportional to 6,186, 9,255.75 and 4,340.72 is: 6,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 9,255.75 = 4,340.72 : x
  2. Step 2: Convert to fraction form
    6,186/9,255.75 = 4,340.72/x
  3. Step 3: Cross multiply
    6,186x = 9,255.75 × 4,340.72
  4. Step 4: Simplify right side
    6,186x = 40,176,572.86
  5. Step 5: Solve for x
    x = 40,176,572.86/6,186
  6. Step 6: Final answer
    x = 6,494.76

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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.