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Finding the Fourth Proportional to 21,654.88, 32,484 and 6,864.64

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Solution

The fourth proportional to 21,654.88, 32,484 and 6,864.64 is: 10,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.88 : 32,484 = 6,864.64 : x
  2. Step 2: Convert to fraction form
    21,654.88/32,484 = 6,864.64/x
  3. Step 3: Cross multiply
    21,654.88x = 32,484 × 6,864.64
  4. Step 4: Simplify right side
    21,654.88x = 222,990,965.76
  5. Step 5: Solve for x
    x = 222,990,965.76/21,654.88
  6. Step 6: Final answer
    x = 10,297.49

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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.