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Finding the Fourth Proportional to 2,559, 3,836.25 and 1,099.11

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Solution

The fourth proportional to 2,559, 3,836.25 and 1,099.11 is: 1,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559 : 3,836.25 = 1,099.11 : x
  2. Step 2: Convert to fraction form
    2,559/3,836.25 = 1,099.11/x
  3. Step 3: Cross multiply
    2,559x = 3,836.25 × 1,099.11
  4. Step 4: Simplify right side
    2,559x = 4,216,460.74
  5. Step 5: Solve for x
    x = 4,216,460.74/2,559
  6. Step 6: Final answer
    x = 1,647.70

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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.