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Finding the Fourth Proportional to 21,563.69, 32,347.10 and 6,772.48

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Solution

The fourth proportional to 21,563.69, 32,347.10 and 6,772.48 is: 10,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.69 : 32,347.10 = 6,772.48 : x
  2. Step 2: Convert to fraction form
    21,563.69/32,347.10 = 6,772.48/x
  3. Step 3: Cross multiply
    21,563.69x = 32,347.10 × 6,772.48
  4. Step 4: Simplify right side
    21,563.69x = 219,070,145.17
  5. Step 5: Solve for x
    x = 219,070,145.17/21,563.69
  6. Step 6: Final answer
    x = 10,159.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.