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Finding the Fourth Proportional to 1,842.08, 2,542 and 1,002.76

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Solution

The fourth proportional to 1,842.08, 2,542 and 1,002.76 is: 1,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.08 : 2,542 = 1,002.76 : x
  2. Step 2: Convert to fraction form
    1,842.08/2,542 = 1,002.76/x
  3. Step 3: Cross multiply
    1,842.08x = 2,542 × 1,002.76
  4. Step 4: Simplify right side
    1,842.08x = 2,549,015.92
  5. Step 5: Solve for x
    x = 2,549,015.92/1,842.08
  6. Step 6: Final answer
    x = 1,383.77

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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.