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Finding the Fourth Proportional to 2,592.52, 3,889.26 and 1,421.88

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Solution

The fourth proportional to 2,592.52, 3,889.26 and 1,421.88 is: 2,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.52 : 3,889.26 = 1,421.88 : x
  2. Step 2: Convert to fraction form
    2,592.52/3,889.26 = 1,421.88/x
  3. Step 3: Cross multiply
    2,592.52x = 3,889.26 × 1,421.88
  4. Step 4: Simplify right side
    2,592.52x = 5,530,041.56
  5. Step 5: Solve for x
    x = 5,530,041.56/2,592.52
  6. Step 6: Final answer
    x = 2,133.08

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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.