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Finding the Fourth Proportional to 2,841.47, 4,262.89 and 893.68

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Solution

The fourth proportional to 2,841.47, 4,262.89 and 893.68 is: 1,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.47 : 4,262.89 = 893.68 : x
  2. Step 2: Convert to fraction form
    2,841.47/4,262.89 = 893.68/x
  3. Step 3: Cross multiply
    2,841.47x = 4,262.89 × 893.68
  4. Step 4: Simplify right side
    2,841.47x = 3,809,659.54
  5. Step 5: Solve for x
    x = 3,809,659.54/2,841.47
  6. Step 6: Final answer
    x = 1,340.74

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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.