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Finding the Fourth Proportional to 23,712.78, 32,721.99 and 13,102.32

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Solution

The fourth proportional to 23,712.78, 32,721.99 and 13,102.32 is: 18,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.78 : 32,721.99 = 13,102.32 : x
  2. Step 2: Convert to fraction form
    23,712.78/32,721.99 = 13,102.32/x
  3. Step 3: Cross multiply
    23,712.78x = 32,721.99 × 13,102.32
  4. Step 4: Simplify right side
    23,712.78x = 428,733,984.02
  5. Step 5: Solve for x
    x = 428,733,984.02/23,712.78
  6. Step 6: Final answer
    x = 18,080.29

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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.