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Finding the Fourth Proportional to 2,797.60, 3,860.68 and 1,538.64

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Solution

The fourth proportional to 2,797.60, 3,860.68 and 1,538.64 is: 2,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.60 : 3,860.68 = 1,538.64 : x
  2. Step 2: Convert to fraction form
    2,797.60/3,860.68 = 1,538.64/x
  3. Step 3: Cross multiply
    2,797.60x = 3,860.68 × 1,538.64
  4. Step 4: Simplify right side
    2,797.60x = 5,940,196.68
  5. Step 5: Solve for x
    x = 5,940,196.68/2,797.60
  6. Step 6: Final answer
    x = 2,123.32

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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.