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Finding the Fourth Proportional to 4,138.08, 6,207.12 and 1,216.08

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Solution

The fourth proportional to 4,138.08, 6,207.12 and 1,216.08 is: 1,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.08 : 6,207.12 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    4,138.08/6,207.12 = 1,216.08/x
  3. Step 3: Cross multiply
    4,138.08x = 6,207.12 × 1,216.08
  4. Step 4: Simplify right side
    4,138.08x = 7,548,354.49
  5. Step 5: Solve for x
    x = 7,548,354.49/4,138.08
  6. Step 6: Final answer
    x = 1,824.12

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1.5x scale

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.