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Finding the Fourth Proportional to 2,841.84, 3,922.32 and 1,663.20

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Solution

The fourth proportional to 2,841.84, 3,922.32 and 1,663.20 is: 2,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.84 : 3,922.32 = 1,663.20 : x
  2. Step 2: Convert to fraction form
    2,841.84/3,922.32 = 1,663.20/x
  3. Step 3: Cross multiply
    2,841.84x = 3,922.32 × 1,663.20
  4. Step 4: Simplify right side
    2,841.84x = 6,523,602.62
  5. Step 5: Solve for x
    x = 6,523,602.62/2,841.84
  6. Step 6: Final answer
    x = 2,295.56

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1.5x scale

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.