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Finding the Fourth Proportional to 5,169.88, 7,754.75 and 1,274.30

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Solution

The fourth proportional to 5,169.88, 7,754.75 and 1,274.30 is: 1,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.88 : 7,754.75 = 1,274.30 : x
  2. Step 2: Convert to fraction form
    5,169.88/7,754.75 = 1,274.30/x
  3. Step 3: Cross multiply
    5,169.88x = 7,754.75 × 1,274.30
  4. Step 4: Simplify right side
    5,169.88x = 9,881,877.93
  5. Step 5: Solve for x
    x = 9,881,877.93/5,169.88
  6. Step 6: Final answer
    x = 1,911.43

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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.