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Finding the Fourth Proportional to 21,018.80, 31,528.92 and 7,166

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Solution

The fourth proportional to 21,018.80, 31,528.92 and 7,166 is: 10,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018.80 : 31,528.92 = 7,166 : x
  2. Step 2: Convert to fraction form
    21,018.80/31,528.92 = 7,166/x
  3. Step 3: Cross multiply
    21,018.80x = 31,528.92 × 7,166
  4. Step 4: Simplify right side
    21,018.80x = 225,936,240.72
  5. Step 5: Solve for x
    x = 225,936,240.72/21,018.80
  6. Step 6: Final answer
    x = 10,749.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.