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Finding the Fourth Proportional to 32,988, 45,523.60 and 19,740

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Solution

The fourth proportional to 32,988, 45,523.60 and 19,740 is: 27,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 45,523.60 = 19,740 : x
  2. Step 2: Convert to fraction form
    32,988/45,523.60 = 19,740/x
  3. Step 3: Cross multiply
    32,988x = 45,523.60 × 19,740
  4. Step 4: Simplify right side
    32,988x = 898,635,864
  5. Step 5: Solve for x
    x = 898,635,864/32,988
  6. Step 6: Final answer
    x = 27,241.30

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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.