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Finding the Fourth Proportional to 7,958.66, 10,978.13 and 6,167.75

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Solution

The fourth proportional to 7,958.66, 10,978.13 and 6,167.75 is: 8,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.66 : 10,978.13 = 6,167.75 : x
  2. Step 2: Convert to fraction form
    7,958.66/10,978.13 = 6,167.75/x
  3. Step 3: Cross multiply
    7,958.66x = 10,978.13 × 6,167.75
  4. Step 4: Simplify right side
    7,958.66x = 67,710,321.84
  5. Step 5: Solve for x
    x = 67,710,321.84/7,958.66
  6. Step 6: Final answer
    x = 8,507.76

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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.