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Finding the Fourth Proportional to 21,869.67, 32,809.70 and 7,078.58

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Solution

The fourth proportional to 21,869.67, 32,809.70 and 7,078.58 is: 10,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,869.67 : 32,809.70 = 7,078.58 : x
  2. Step 2: Convert to fraction form
    21,869.67/32,809.70 = 7,078.58/x
  3. Step 3: Cross multiply
    21,869.67x = 32,809.70 × 7,078.58
  4. Step 4: Simplify right side
    21,869.67x = 232,246,086.23
  5. Step 5: Solve for x
    x = 232,246,086.23/21,869.67
  6. Step 6: Final answer
    x = 10,619.55

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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.