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Finding the Fourth Proportional to 2,169.14, 3,253.70 and 525.68

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Solution

The fourth proportional to 2,169.14, 3,253.70 and 525.68 is: 788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.14 : 3,253.70 = 525.68 : x
  2. Step 2: Convert to fraction form
    2,169.14/3,253.70 = 525.68/x
  3. Step 3: Cross multiply
    2,169.14x = 3,253.70 × 525.68
  4. Step 4: Simplify right side
    2,169.14x = 1,710,405.02
  5. Step 5: Solve for x
    x = 1,710,405.02/2,169.14
  6. Step 6: Final answer
    x = 788.52

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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.