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Finding the Fourth Proportional to 2,521.05, 3,781.04 and 788.73

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Solution

The fourth proportional to 2,521.05, 3,781.04 and 788.73 is: 1,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.05 : 3,781.04 = 788.73 : x
  2. Step 2: Convert to fraction form
    2,521.05/3,781.04 = 788.73/x
  3. Step 3: Cross multiply
    2,521.05x = 3,781.04 × 788.73
  4. Step 4: Simplify right side
    2,521.05x = 2,982,215.74
  5. Step 5: Solve for x
    x = 2,982,215.74/2,521.05
  6. Step 6: Final answer
    x = 1,182.93

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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.