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Finding the Fourth Proportional to 3,443.62, 4,749.12 and 2,853.12

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Solution

The fourth proportional to 3,443.62, 4,749.12 and 2,853.12 is: 3,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.62 : 4,749.12 = 2,853.12 : x
  2. Step 2: Convert to fraction form
    3,443.62/4,749.12 = 2,853.12/x
  3. Step 3: Cross multiply
    3,443.62x = 4,749.12 × 2,853.12
  4. Step 4: Simplify right side
    3,443.62x = 13,549,809.25
  5. Step 5: Solve for x
    x = 13,549,809.25/3,443.62
  6. Step 6: Final answer
    x = 3,934.76

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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.