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Finding the Fourth Proportional to 3,438.80, 4,742.80 and 2,261.08

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Solution

The fourth proportional to 3,438.80, 4,742.80 and 2,261.08 is: 3,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.80 : 4,742.80 = 2,261.08 : x
  2. Step 2: Convert to fraction form
    3,438.80/4,742.80 = 2,261.08/x
  3. Step 3: Cross multiply
    3,438.80x = 4,742.80 × 2,261.08
  4. Step 4: Simplify right side
    3,438.80x = 10,723,850.22
  5. Step 5: Solve for x
    x = 10,723,850.22/3,438.80
  6. Step 6: Final answer
    x = 3,118.49

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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.