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Finding the Fourth Proportional to 22,516.86, 31,073.30 and 13,564.74

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Solution

The fourth proportional to 22,516.86, 31,073.30 and 13,564.74 is: 18,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.86 : 31,073.30 = 13,564.74 : x
  2. Step 2: Convert to fraction form
    22,516.86/31,073.30 = 13,564.74/x
  3. Step 3: Cross multiply
    22,516.86x = 31,073.30 × 13,564.74
  4. Step 4: Simplify right side
    22,516.86x = 421,501,235.44
  5. Step 5: Solve for x
    x = 421,501,235.44/22,516.86
  6. Step 6: Final answer
    x = 18,719.36

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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.