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Finding the Fourth Proportional to 22,567.74, 31,143.96 and 12,359.21

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Solution

The fourth proportional to 22,567.74, 31,143.96 and 12,359.21 is: 17,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.74 : 31,143.96 = 12,359.21 : x
  2. Step 2: Convert to fraction form
    22,567.74/31,143.96 = 12,359.21/x
  3. Step 3: Cross multiply
    22,567.74x = 31,143.96 × 12,359.21
  4. Step 4: Simplify right side
    22,567.74x = 384,914,586.15
  5. Step 5: Solve for x
    x = 384,914,586.15/22,567.74
  6. Step 6: Final answer
    x = 17,055.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.