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Finding the Fourth Proportional to 21,867.64, 32,806.22 and 7,078.05

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Solution

The fourth proportional to 21,867.64, 32,806.22 and 7,078.05 is: 10,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.64 : 32,806.22 = 7,078.05 : x
  2. Step 2: Convert to fraction form
    21,867.64/32,806.22 = 7,078.05/x
  3. Step 3: Cross multiply
    21,867.64x = 32,806.22 × 7,078.05
  4. Step 4: Simplify right side
    21,867.64x = 232,204,030.08
  5. Step 5: Solve for x
    x = 232,204,030.08/21,867.64
  6. Step 6: Final answer
    x = 10,618.62

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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.