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Finding the Fourth Proportional to 2,842.68, 3,922.88 and 1,663.52

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Solution

The fourth proportional to 2,842.68, 3,922.88 and 1,663.52 is: 2,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.68 : 3,922.88 = 1,663.52 : x
  2. Step 2: Convert to fraction form
    2,842.68/3,922.88 = 1,663.52/x
  3. Step 3: Cross multiply
    2,842.68x = 3,922.88 × 1,663.52
  4. Step 4: Simplify right side
    2,842.68x = 6,525,789.34
  5. Step 5: Solve for x
    x = 6,525,789.34/2,842.68
  6. Step 6: Final answer
    x = 2,295.65

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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.