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Finding the Fourth Proportional to 5,422.88, 8,134.50 and 1,725.50

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Solution

The fourth proportional to 5,422.88, 8,134.50 and 1,725.50 is: 2,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.88 : 8,134.50 = 1,725.50 : x
  2. Step 2: Convert to fraction form
    5,422.88/8,134.50 = 1,725.50/x
  3. Step 3: Cross multiply
    5,422.88x = 8,134.50 × 1,725.50
  4. Step 4: Simplify right side
    5,422.88x = 14,036,079.75
  5. Step 5: Solve for x
    x = 14,036,079.75/5,422.88
  6. Step 6: Final answer
    x = 2,588.31

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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.