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Finding the Fourth Proportional to 7,165.41, 9,891.33 and 6,717.06

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Solution

The fourth proportional to 7,165.41, 9,891.33 and 6,717.06 is: 9,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.41 : 9,891.33 = 6,717.06 : x
  2. Step 2: Convert to fraction form
    7,165.41/9,891.33 = 6,717.06/x
  3. Step 3: Cross multiply
    7,165.41x = 9,891.33 × 6,717.06
  4. Step 4: Simplify right side
    7,165.41x = 66,440,657.09
  5. Step 5: Solve for x
    x = 66,440,657.09/7,165.41
  6. Step 6: Final answer
    x = 9,272.42

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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.