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Finding the Fourth Proportional to 7,540, 10,406.10 and 4,396.18

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Solution

The fourth proportional to 7,540, 10,406.10 and 4,396.18 is: 6,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540 : 10,406.10 = 4,396.18 : x
  2. Step 2: Convert to fraction form
    7,540/10,406.10 = 4,396.18/x
  3. Step 3: Cross multiply
    7,540x = 10,406.10 × 4,396.18
  4. Step 4: Simplify right side
    7,540x = 45,747,088.70
  5. Step 5: Solve for x
    x = 45,747,088.70/7,540
  6. Step 6: Final answer
    x = 6,067.25

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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.