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Finding the Fourth Proportional to 10,066.37, 15,031.76 and 8,221.14

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Solution

The fourth proportional to 10,066.37, 15,031.76 and 8,221.14 is: 12,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.37 : 15,031.76 = 8,221.14 : x
  2. Step 2: Convert to fraction form
    10,066.37/15,031.76 = 8,221.14/x
  3. Step 3: Cross multiply
    10,066.37x = 15,031.76 × 8,221.14
  4. Step 4: Simplify right side
    10,066.37x = 123,578,162.30
  5. Step 5: Solve for x
    x = 123,578,162.30/10,066.37
  6. Step 6: Final answer
    x = 12,276.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.