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Finding the Fourth Proportional to 10,145.63, 15,219.89 and 3,126.22

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Solution

The fourth proportional to 10,145.63, 15,219.89 and 3,126.22 is: 4,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.63 : 15,219.89 = 3,126.22 : x
  2. Step 2: Convert to fraction form
    10,145.63/15,219.89 = 3,126.22/x
  3. Step 3: Cross multiply
    10,145.63x = 15,219.89 × 3,126.22
  4. Step 4: Simplify right side
    10,145.63x = 47,580,724.52
  5. Step 5: Solve for x
    x = 47,580,724.52/10,145.63
  6. Step 6: Final answer
    x = 4,689.78

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