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Finding the Fourth Proportional to 22,829.78, 31,504.65 and 13,880.19

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Solution

The fourth proportional to 22,829.78, 31,504.65 and 13,880.19 is: 19,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.78 : 31,504.65 = 13,880.19 : x
  2. Step 2: Convert to fraction form
    22,829.78/31,504.65 = 13,880.19/x
  3. Step 3: Cross multiply
    22,829.78x = 31,504.65 × 13,880.19
  4. Step 4: Simplify right side
    22,829.78x = 437,290,593.98
  5. Step 5: Solve for x
    x = 437,290,593.98/22,829.78
  6. Step 6: Final answer
    x = 19,154.39

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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.