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Finding the Fourth Proportional to 2,342.62, 3,512.73 and 782.06

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Solution

The fourth proportional to 2,342.62, 3,512.73 and 782.06 is: 1,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.62 : 3,512.73 = 782.06 : x
  2. Step 2: Convert to fraction form
    2,342.62/3,512.73 = 782.06/x
  3. Step 3: Cross multiply
    2,342.62x = 3,512.73 × 782.06
  4. Step 4: Simplify right side
    2,342.62x = 2,747,161.72
  5. Step 5: Solve for x
    x = 2,747,161.72/2,342.62
  6. Step 6: Final answer
    x = 1,172.69

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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.