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Finding the Fourth Proportional to 2,780.92, 3,838.14 and 1,602.68

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Solution

The fourth proportional to 2,780.92, 3,838.14 and 1,602.68 is: 2,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.92 : 3,838.14 = 1,602.68 : x
  2. Step 2: Convert to fraction form
    2,780.92/3,838.14 = 1,602.68/x
  3. Step 3: Cross multiply
    2,780.92x = 3,838.14 × 1,602.68
  4. Step 4: Simplify right side
    2,780.92x = 6,151,291.02
  5. Step 5: Solve for x
    x = 6,151,291.02/2,780.92
  6. Step 6: Final answer
    x = 2,211.96

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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.