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Finding the Fourth Proportional to 7,721, 11,574.57 and 2,789.49

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Solution

The fourth proportional to 7,721, 11,574.57 and 2,789.49 is: 4,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 11,574.57 = 2,789.49 : x
  2. Step 2: Convert to fraction form
    7,721/11,574.57 = 2,789.49/x
  3. Step 3: Cross multiply
    7,721x = 11,574.57 × 2,789.49
  4. Step 4: Simplify right side
    7,721x = 32,287,089.40
  5. Step 5: Solve for x
    x = 32,287,089.40/7,721
  6. Step 6: Final answer
    x = 4,181.72

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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.