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Finding the Fourth Proportional to 1,837.76, 2,756.60 and 797.68

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Solution

The fourth proportional to 1,837.76, 2,756.60 and 797.68 is: 1,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.76 : 2,756.60 = 797.68 : x
  2. Step 2: Convert to fraction form
    1,837.76/2,756.60 = 797.68/x
  3. Step 3: Cross multiply
    1,837.76x = 2,756.60 × 797.68
  4. Step 4: Simplify right side
    1,837.76x = 2,198,884.69
  5. Step 5: Solve for x
    x = 2,198,884.69/1,837.76
  6. Step 6: Final answer
    x = 1,196.50

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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.