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Finding the Fourth Proportional to 8,738.68, 13,040.91 and 7,804.48

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Solution

The fourth proportional to 8,738.68, 13,040.91 and 7,804.48 is: 11,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.68 : 13,040.91 = 7,804.48 : x
  2. Step 2: Convert to fraction form
    8,738.68/13,040.91 = 7,804.48/x
  3. Step 3: Cross multiply
    8,738.68x = 13,040.91 × 7,804.48
  4. Step 4: Simplify right side
    8,738.68x = 101,777,521.28
  5. Step 5: Solve for x
    x = 101,777,521.28/8,738.68
  6. Step 6: Final answer
    x = 11,646.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.