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Finding the Fourth Proportional to 22,649.57, 31,254.12 and 13,223.60

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Solution

The fourth proportional to 22,649.57, 31,254.12 and 13,223.60 is: 18,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.57 : 31,254.12 = 13,223.60 : x
  2. Step 2: Convert to fraction form
    22,649.57/31,254.12 = 13,223.60/x
  3. Step 3: Cross multiply
    22,649.57x = 31,254.12 × 13,223.60
  4. Step 4: Simplify right side
    22,649.57x = 413,292,117.97
  5. Step 5: Solve for x
    x = 413,292,117.97/22,649.57
  6. Step 6: Final answer
    x = 18,247.24

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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.