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Finding the Fourth Proportional to 21,969.59, 32,957.69 and 6,385.19

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Solution

The fourth proportional to 21,969.59, 32,957.69 and 6,385.19 is: 9,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.59 : 32,957.69 = 6,385.19 : x
  2. Step 2: Convert to fraction form
    21,969.59/32,957.69 = 6,385.19/x
  3. Step 3: Cross multiply
    21,969.59x = 32,957.69 × 6,385.19
  4. Step 4: Simplify right side
    21,969.59x = 210,441,112.61
  5. Step 5: Solve for x
    x = 210,441,112.61/21,969.59
  6. Step 6: Final answer
    x = 9,578.75

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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.