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Finding the Fourth Proportional to 7,768.76, 10,721.00 and 4,231.97

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Solution

The fourth proportional to 7,768.76, 10,721.00 and 4,231.97 is: 5,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.76 : 10,721.00 = 4,231.97 : x
  2. Step 2: Convert to fraction form
    7,768.76/10,721.00 = 4,231.97/x
  3. Step 3: Cross multiply
    7,768.76x = 10,721.00 × 4,231.97
  4. Step 4: Simplify right side
    7,768.76x = 45,370,875.61
  5. Step 5: Solve for x
    x = 45,370,875.61/7,768.76
  6. Step 6: Final answer
    x = 5,840.17

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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.