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Finding the Fourth Proportional to 2,169.15, 3,252.75 and 782.52

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Solution

The fourth proportional to 2,169.15, 3,252.75 and 782.52 is: 1,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.15 : 3,252.75 = 782.52 : x
  2. Step 2: Convert to fraction form
    2,169.15/3,252.75 = 782.52/x
  3. Step 3: Cross multiply
    2,169.15x = 3,252.75 × 782.52
  4. Step 4: Simplify right side
    2,169.15x = 2,545,341.93
  5. Step 5: Solve for x
    x = 2,545,341.93/2,169.15
  6. Step 6: Final answer
    x = 1,173.43

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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.