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Finding the Fourth Proportional to 7,768.92, 10,721.07 and 4,232.28

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Solution

The fourth proportional to 7,768.92, 10,721.07 and 4,232.28 is: 5,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.92 : 10,721.07 = 4,232.28 : x
  2. Step 2: Convert to fraction form
    7,768.92/10,721.07 = 4,232.28/x
  3. Step 3: Cross multiply
    7,768.92x = 10,721.07 × 4,232.28
  4. Step 4: Simplify right side
    7,768.92x = 45,374,570.14
  5. Step 5: Solve for x
    x = 45,374,570.14/7,768.92
  6. Step 6: Final answer
    x = 5,840.52

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1.5x scale

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.