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Finding the Fourth Proportional to 15,772.81, 23,659.21 and 5,384.65

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Solution

The fourth proportional to 15,772.81, 23,659.21 and 5,384.65 is: 8,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.81 : 23,659.21 = 5,384.65 : x
  2. Step 2: Convert to fraction form
    15,772.81/23,659.21 = 5,384.65/x
  3. Step 3: Cross multiply
    15,772.81x = 23,659.21 × 5,384.65
  4. Step 4: Simplify right side
    15,772.81x = 127,396,446.83
  5. Step 5: Solve for x
    x = 127,396,446.83/15,772.81
  6. Step 6: Final answer
    x = 8,076.97

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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.