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Finding the Fourth Proportional to 8,738.62, 13,040.76 and 7,804.42

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Solution

The fourth proportional to 8,738.62, 13,040.76 and 7,804.42 is: 11,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.62 : 13,040.76 = 7,804.42 : x
  2. Step 2: Convert to fraction form
    8,738.62/13,040.76 = 7,804.42/x
  3. Step 3: Cross multiply
    8,738.62x = 13,040.76 × 7,804.42
  4. Step 4: Simplify right side
    8,738.62x = 101,775,568.16
  5. Step 5: Solve for x
    x = 101,775,568.16/8,738.62
  6. Step 6: Final answer
    x = 11,646.64

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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.