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Finding the Fourth Proportional to 21,382.66, 32,065.79 and 7,340.07

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Solution

The fourth proportional to 21,382.66, 32,065.79 and 7,340.07 is: 11,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.66 : 32,065.79 = 7,340.07 : x
  2. Step 2: Convert to fraction form
    21,382.66/32,065.79 = 7,340.07/x
  3. Step 3: Cross multiply
    21,382.66x = 32,065.79 × 7,340.07
  4. Step 4: Simplify right side
    21,382.66x = 235,365,143.21
  5. Step 5: Solve for x
    x = 235,365,143.21/21,382.66
  6. Step 6: Final answer
    x = 11,007.29

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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.