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Finding the Fourth Proportional to 21,646.88, 32,472 and 6,856.64

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Solution

The fourth proportional to 21,646.88, 32,472 and 6,856.64 is: 10,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.88 : 32,472 = 6,856.64 : x
  2. Step 2: Convert to fraction form
    21,646.88/32,472 = 6,856.64/x
  3. Step 3: Cross multiply
    21,646.88x = 32,472 × 6,856.64
  4. Step 4: Simplify right side
    21,646.88x = 222,648,814.08
  5. Step 5: Solve for x
    x = 222,648,814.08/21,646.88
  6. Step 6: Final answer
    x = 10,285.49

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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.