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Finding the Fourth Proportional to 4,089.49, 5,643.49 and 2,226.49

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Solution

The fourth proportional to 4,089.49, 5,643.49 and 2,226.49 is: 3,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.49 : 5,643.49 = 2,226.49 : x
  2. Step 2: Convert to fraction form
    4,089.49/5,643.49 = 2,226.49/x
  3. Step 3: Cross multiply
    4,089.49x = 5,643.49 × 2,226.49
  4. Step 4: Simplify right side
    4,089.49x = 12,565,140.27
  5. Step 5: Solve for x
    x = 12,565,140.27/4,089.49
  6. Step 6: Final answer
    x = 3,072.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.