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Finding the Fourth Proportional to 2,169.21, 3,253.78 and 525.77

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Solution

The fourth proportional to 2,169.21, 3,253.78 and 525.77 is: 788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.21 : 3,253.78 = 525.77 : x
  2. Step 2: Convert to fraction form
    2,169.21/3,253.78 = 525.77/x
  3. Step 3: Cross multiply
    2,169.21x = 3,253.78 × 525.77
  4. Step 4: Simplify right side
    2,169.21x = 1,710,734.96
  5. Step 5: Solve for x
    x = 1,710,734.96/2,169.21
  6. Step 6: Final answer
    x = 788.65

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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.