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Finding the Fourth Proportional to 7,679.75, 10,598.31 and 4,322.57

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Solution

The fourth proportional to 7,679.75, 10,598.31 and 4,322.57 is: 5,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.75 : 10,598.31 = 4,322.57 : x
  2. Step 2: Convert to fraction form
    7,679.75/10,598.31 = 4,322.57/x
  3. Step 3: Cross multiply
    7,679.75x = 10,598.31 × 4,322.57
  4. Step 4: Simplify right side
    7,679.75x = 45,811,883.87
  5. Step 5: Solve for x
    x = 45,811,883.87/7,679.75
  6. Step 6: Final answer
    x = 5,965.29

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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.