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Finding the Fourth Proportional to 5,434, 8,151 and 1,330

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Solution

The fourth proportional to 5,434, 8,151 and 1,330 is: 1,995

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 8,151 = 1,330 : x
  2. Step 2: Convert to fraction form
    5,434/8,151 = 1,330/x
  3. Step 3: Cross multiply
    5,434x = 8,151 × 1,330
  4. Step 4: Simplify right side
    5,434x = 10,840,830
  5. Step 5: Solve for x
    x = 10,840,830/5,434
  6. Step 6: Final answer
    x = 1,995

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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.