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Finding the Fourth Proportional to 21,921.84, 32,886 and 6,337.44

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Solution

The fourth proportional to 21,921.84, 32,886 and 6,337.44 is: 9,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.84 : 32,886 = 6,337.44 : x
  2. Step 2: Convert to fraction form
    21,921.84/32,886 = 6,337.44/x
  3. Step 3: Cross multiply
    21,921.84x = 32,886 × 6,337.44
  4. Step 4: Simplify right side
    21,921.84x = 208,413,051.84
  5. Step 5: Solve for x
    x = 208,413,051.84/21,921.84
  6. Step 6: Final answer
    x = 9,507.10

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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.