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Finding the Fourth Proportional to 4,269, 6,406.02 and 1,803.66

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Solution

The fourth proportional to 4,269, 6,406.02 and 1,803.66 is: 2,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 6,406.02 = 1,803.66 : x
  2. Step 2: Convert to fraction form
    4,269/6,406.02 = 1,803.66/x
  3. Step 3: Cross multiply
    4,269x = 6,406.02 × 1,803.66
  4. Step 4: Simplify right side
    4,269x = 11,554,282.03
  5. Step 5: Solve for x
    x = 11,554,282.03/4,269
  6. Step 6: Final answer
    x = 2,706.55

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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.