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Finding the Fourth Proportional to 12,011.74, 18,013.02 and 5,770.02

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Solution

The fourth proportional to 12,011.74, 18,013.02 and 5,770.02 is: 8,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.74 : 18,013.02 = 5,770.02 : x
  2. Step 2: Convert to fraction form
    12,011.74/18,013.02 = 5,770.02/x
  3. Step 3: Cross multiply
    12,011.74x = 18,013.02 × 5,770.02
  4. Step 4: Simplify right side
    12,011.74x = 103,935,485.66
  5. Step 5: Solve for x
    x = 103,935,485.66/12,011.74
  6. Step 6: Final answer
    x = 8,652.83

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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.