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Finding the Fourth Proportional to 9,980.22, 13,761.32 and 7,458.09

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Solution

The fourth proportional to 9,980.22, 13,761.32 and 7,458.09 is: 10,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.22 : 13,761.32 = 7,458.09 : x
  2. Step 2: Convert to fraction form
    9,980.22/13,761.32 = 7,458.09/x
  3. Step 3: Cross multiply
    9,980.22x = 13,761.32 × 7,458.09
  4. Step 4: Simplify right side
    9,980.22x = 102,633,163.08
  5. Step 5: Solve for x
    x = 102,633,163.08/9,980.22
  6. Step 6: Final answer
    x = 10,283.66

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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.