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Finding the Fourth Proportional to 2,521.63, 3,780.45 and 961.33

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Solution

The fourth proportional to 2,521.63, 3,780.45 and 961.33 is: 1,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.63 : 3,780.45 = 961.33 : x
  2. Step 2: Convert to fraction form
    2,521.63/3,780.45 = 961.33/x
  3. Step 3: Cross multiply
    2,521.63x = 3,780.45 × 961.33
  4. Step 4: Simplify right side
    2,521.63x = 3,634,260.00
  5. Step 5: Solve for x
    x = 3,634,260.00/2,521.63
  6. Step 6: Final answer
    x = 1,441.23

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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.