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Finding the Fourth Proportional to 2,822, 3,894.38 and 1,580

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Solution

The fourth proportional to 2,822, 3,894.38 and 1,580 is: 2,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822 : 3,894.38 = 1,580 : x
  2. Step 2: Convert to fraction form
    2,822/3,894.38 = 1,580/x
  3. Step 3: Cross multiply
    2,822x = 3,894.38 × 1,580
  4. Step 4: Simplify right side
    2,822x = 6,153,120.40
  5. Step 5: Solve for x
    x = 6,153,120.40/2,822
  6. Step 6: Final answer
    x = 2,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.