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Finding the Fourth Proportional to 21,147, 31,720.50 and 6,555

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Solution

The fourth proportional to 21,147, 31,720.50 and 6,555 is: 9,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147 : 31,720.50 = 6,555 : x
  2. Step 2: Convert to fraction form
    21,147/31,720.50 = 6,555/x
  3. Step 3: Cross multiply
    21,147x = 31,720.50 × 6,555
  4. Step 4: Simplify right side
    21,147x = 207,927,877.50
  5. Step 5: Solve for x
    x = 207,927,877.50/21,147
  6. Step 6: Final answer
    x = 9,832.50

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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.