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Finding the Fourth Proportional to 32,991.50, 45,531.16 and 18,090.38

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Solution

The fourth proportional to 32,991.50, 45,531.16 and 18,090.38 is: 24,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.50 : 45,531.16 = 18,090.38 : x
  2. Step 2: Convert to fraction form
    32,991.50/45,531.16 = 18,090.38/x
  3. Step 3: Cross multiply
    32,991.50x = 45,531.16 × 18,090.38
  4. Step 4: Simplify right side
    32,991.50x = 823,675,986.24
  5. Step 5: Solve for x
    x = 823,675,986.24/32,991.50
  6. Step 6: Final answer
    x = 24,966.31

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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.