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Finding the Fourth Proportional to 7,164.91, 9,890.64 and 6,716.56

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Solution

The fourth proportional to 7,164.91, 9,890.64 and 6,716.56 is: 9,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.91 : 9,890.64 = 6,716.56 : x
  2. Step 2: Convert to fraction form
    7,164.91/9,890.64 = 6,716.56/x
  3. Step 3: Cross multiply
    7,164.91x = 9,890.64 × 6,716.56
  4. Step 4: Simplify right side
    7,164.91x = 66,431,077.00
  5. Step 5: Solve for x
    x = 66,431,077.00/7,164.91
  6. Step 6: Final answer
    x = 9,271.73

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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.