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Finding the Fourth Proportional to 22,851.80, 31,540.58 and 13,897.42

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Solution

The fourth proportional to 22,851.80, 31,540.58 and 13,897.42 is: 19,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.80 : 31,540.58 = 13,897.42 : x
  2. Step 2: Convert to fraction form
    22,851.80/31,540.58 = 13,897.42/x
  3. Step 3: Cross multiply
    22,851.80x = 31,540.58 × 13,897.42
  4. Step 4: Simplify right side
    22,851.80x = 438,332,643.20
  5. Step 5: Solve for x
    x = 438,332,643.20/22,851.80
  6. Step 6: Final answer
    x = 19,181.54

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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.