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Finding the Fourth Proportional to 6,138.10, 9,215.18 and 3,643.84

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Solution

The fourth proportional to 6,138.10, 9,215.18 and 3,643.84 is: 5,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.10 : 9,215.18 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    6,138.10/9,215.18 = 3,643.84/x
  3. Step 3: Cross multiply
    6,138.10x = 9,215.18 × 3,643.84
  4. Step 4: Simplify right side
    6,138.10x = 33,578,641.49
  5. Step 5: Solve for x
    x = 33,578,641.49/6,138.10
  6. Step 6: Final answer
    x = 5,470.53

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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.