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Finding the Fourth Proportional to 5,322.78, 7,984.51 and 1,625.27

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Solution

The fourth proportional to 5,322.78, 7,984.51 and 1,625.27 is: 2,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.78 : 7,984.51 = 1,625.27 : x
  2. Step 2: Convert to fraction form
    5,322.78/7,984.51 = 1,625.27/x
  3. Step 3: Cross multiply
    5,322.78x = 7,984.51 × 1,625.27
  4. Step 4: Simplify right side
    5,322.78x = 12,976,940.58
  5. Step 5: Solve for x
    x = 12,976,940.58/5,322.78
  6. Step 6: Final answer
    x = 2,438.00

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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.