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Finding the Fourth Proportional to 21,382.58, 32,049.98 and 8,894.10

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Solution

The fourth proportional to 21,382.58, 32,049.98 and 8,894.10 is: 13,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.58 : 32,049.98 = 8,894.10 : x
  2. Step 2: Convert to fraction form
    21,382.58/32,049.98 = 8,894.10/x
  3. Step 3: Cross multiply
    21,382.58x = 32,049.98 × 8,894.10
  4. Step 4: Simplify right side
    21,382.58x = 285,055,836.19
  5. Step 5: Solve for x
    x = 285,055,836.19/21,382.58
  6. Step 6: Final answer
    x = 13,331.22

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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.