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Finding the Fourth Proportional to 4,269, 6,400.06 and 2,864.88

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Solution

The fourth proportional to 4,269, 6,400.06 and 2,864.88 is: 4,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 6,400.06 = 2,864.88 : x
  2. Step 2: Convert to fraction form
    4,269/6,400.06 = 2,864.88/x
  3. Step 3: Cross multiply
    4,269x = 6,400.06 × 2,864.88
  4. Step 4: Simplify right side
    4,269x = 18,335,403.89
  5. Step 5: Solve for x
    x = 18,335,403.89/4,269
  6. Step 6: Final answer
    x = 4,295.01

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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.