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Finding the Fourth Proportional to 21,402.80, 32,092.74 and 7,165

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Solution

The fourth proportional to 21,402.80, 32,092.74 and 7,165 is: 10,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.80 : 32,092.74 = 7,165 : x
  2. Step 2: Convert to fraction form
    21,402.80/32,092.74 = 7,165/x
  3. Step 3: Cross multiply
    21,402.80x = 32,092.74 × 7,165
  4. Step 4: Simplify right side
    21,402.80x = 229,944,482.10
  5. Step 5: Solve for x
    x = 229,944,482.10/21,402.80
  6. Step 6: Final answer
    x = 10,743.66

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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.