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Finding the Fourth Proportional to 23,135.31, 31,924.80 and 13,574.20

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Solution

The fourth proportional to 23,135.31, 31,924.80 and 13,574.20 is: 18,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.31 : 31,924.80 = 13,574.20 : x
  2. Step 2: Convert to fraction form
    23,135.31/31,924.80 = 13,574.20/x
  3. Step 3: Cross multiply
    23,135.31x = 31,924.80 × 13,574.20
  4. Step 4: Simplify right side
    23,135.31x = 433,353,540.35
  5. Step 5: Solve for x
    x = 433,353,540.35/23,135.31
  6. Step 6: Final answer
    x = 18,731.26

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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.