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Finding the Fourth Proportional to 18,344.46, 27,509.71 and 7,807.83

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Solution

The fourth proportional to 18,344.46, 27,509.71 and 7,807.83 is: 11,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,344.46 : 27,509.71 = 7,807.83 : x
  2. Step 2: Convert to fraction form
    18,344.46/27,509.71 = 7,807.83/x
  3. Step 3: Cross multiply
    18,344.46x = 27,509.71 × 7,807.83
  4. Step 4: Simplify right side
    18,344.46x = 214,791,139.03
  5. Step 5: Solve for x
    x = 214,791,139.03/18,344.46
  6. Step 6: Final answer
    x = 11,708.77

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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.