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Finding the Fourth Proportional to 1,788.77, 2,468.49 and 1,002.80

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Solution

The fourth proportional to 1,788.77, 2,468.49 and 1,002.80 is: 1,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.77 : 2,468.49 = 1,002.80 : x
  2. Step 2: Convert to fraction form
    1,788.77/2,468.49 = 1,002.80/x
  3. Step 3: Cross multiply
    1,788.77x = 2,468.49 × 1,002.80
  4. Step 4: Simplify right side
    1,788.77x = 2,475,401.77
  5. Step 5: Solve for x
    x = 2,475,401.77/1,788.77
  6. Step 6: Final answer
    x = 1,383.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.