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Finding the Fourth Proportional to 32,910, 45,415.92 and 22,991.28

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Solution

The fourth proportional to 32,910, 45,415.92 and 22,991.28 is: 31,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,910 : 45,415.92 = 22,991.28 : x
  2. Step 2: Convert to fraction form
    32,910/45,415.92 = 22,991.28/x
  3. Step 3: Cross multiply
    32,910x = 45,415.92 × 22,991.28
  4. Step 4: Simplify right side
    32,910x = 1,044,170,133.18
  5. Step 5: Solve for x
    x = 1,044,170,133.18/32,910
  6. Step 6: Final answer
    x = 31,728.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.