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Finding the Fourth Proportional to 2,342.25, 3,513.65 and 782.46

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Solution

The fourth proportional to 2,342.25, 3,513.65 and 782.46 is: 1,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.25 : 3,513.65 = 782.46 : x
  2. Step 2: Convert to fraction form
    2,342.25/3,513.65 = 782.46/x
  3. Step 3: Cross multiply
    2,342.25x = 3,513.65 × 782.46
  4. Step 4: Simplify right side
    2,342.25x = 2,749,286.67
  5. Step 5: Solve for x
    x = 2,749,286.67/2,342.25
  6. Step 6: Final answer
    x = 1,173.78

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1.5x scale

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.