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Finding the Fourth Proportional to 2,538.81, 3,808.80 and 1,078.02

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Solution

The fourth proportional to 2,538.81, 3,808.80 and 1,078.02 is: 1,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.81 : 3,808.80 = 1,078.02 : x
  2. Step 2: Convert to fraction form
    2,538.81/3,808.80 = 1,078.02/x
  3. Step 3: Cross multiply
    2,538.81x = 3,808.80 × 1,078.02
  4. Step 4: Simplify right side
    2,538.81x = 4,105,962.58
  5. Step 5: Solve for x
    x = 4,105,962.58/2,538.81
  6. Step 6: Final answer
    x = 1,617.28

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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.