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Finding the Fourth Proportional to 21,655.50, 32,484.15 and 6,864.09

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Solution

The fourth proportional to 21,655.50, 32,484.15 and 6,864.09 is: 10,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.50 : 32,484.15 = 6,864.09 : x
  2. Step 2: Convert to fraction form
    21,655.50/32,484.15 = 6,864.09/x
  3. Step 3: Cross multiply
    21,655.50x = 32,484.15 × 6,864.09
  4. Step 4: Simplify right side
    21,655.50x = 222,974,129.17
  5. Step 5: Solve for x
    x = 222,974,129.17/21,655.50
  6. Step 6: Final answer
    x = 10,296.42

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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.