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Finding the Fourth Proportional to 10,031.61, 15,049.85 and 3,011.61

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Solution

The fourth proportional to 10,031.61, 15,049.85 and 3,011.61 is: 4,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.61 : 15,049.85 = 3,011.61 : x
  2. Step 2: Convert to fraction form
    10,031.61/15,049.85 = 3,011.61/x
  3. Step 3: Cross multiply
    10,031.61x = 15,049.85 × 3,011.61
  4. Step 4: Simplify right side
    10,031.61x = 45,324,263.70
  5. Step 5: Solve for x
    x = 45,324,263.70/10,031.61
  6. Step 6: Final answer
    x = 4,518.14

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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.