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Finding the Fourth Proportional to 21,564, 32,346 and 6,772.68

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Solution

The fourth proportional to 21,564, 32,346 and 6,772.68 is: 10,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564 : 32,346 = 6,772.68 : x
  2. Step 2: Convert to fraction form
    21,564/32,346 = 6,772.68/x
  3. Step 3: Cross multiply
    21,564x = 32,346 × 6,772.68
  4. Step 4: Simplify right side
    21,564x = 219,069,107.28
  5. Step 5: Solve for x
    x = 219,069,107.28/21,564
  6. Step 6: Final answer
    x = 10,159.02

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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.