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Finding the Fourth Proportional to 22,886.63, 31,584.13 and 12,817.19

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Solution

The fourth proportional to 22,886.63, 31,584.13 and 12,817.19 is: 17,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.63 : 31,584.13 = 12,817.19 : x
  2. Step 2: Convert to fraction form
    22,886.63/31,584.13 = 12,817.19/x
  3. Step 3: Cross multiply
    22,886.63x = 31,584.13 × 12,817.19
  4. Step 4: Simplify right side
    22,886.63x = 404,819,842.11
  5. Step 5: Solve for x
    x = 404,819,842.11/22,886.63
  6. Step 6: Final answer
    x = 17,688.05

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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.