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Finding the Fourth Proportional to 2,166.32, 3,249.48 and 522.87

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Solution

The fourth proportional to 2,166.32, 3,249.48 and 522.87 is: 784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.32 : 3,249.48 = 522.87 : x
  2. Step 2: Convert to fraction form
    2,166.32/3,249.48 = 522.87/x
  3. Step 3: Cross multiply
    2,166.32x = 3,249.48 × 522.87
  4. Step 4: Simplify right side
    2,166.32x = 1,699,036.75
  5. Step 5: Solve for x
    x = 1,699,036.75/2,166.32
  6. Step 6: Final answer
    x = 784.30

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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.