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Finding the Fourth Proportional to 21,993.32, 32,993.82 and 9,681

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Solution

The fourth proportional to 21,993.32, 32,993.82 and 9,681 is: 14,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.32 : 32,993.82 = 9,681 : x
  2. Step 2: Convert to fraction form
    21,993.32/32,993.82 = 9,681/x
  3. Step 3: Cross multiply
    21,993.32x = 32,993.82 × 9,681
  4. Step 4: Simplify right side
    21,993.32x = 319,413,171.42
  5. Step 5: Solve for x
    x = 319,413,171.42/21,993.32
  6. Step 6: Final answer
    x = 14,523.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.