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Finding the Fourth Proportional to 21,521, 32,282.72 and 7,670

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Solution

The fourth proportional to 21,521, 32,282.72 and 7,670 is: 11,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521 : 32,282.72 = 7,670 : x
  2. Step 2: Convert to fraction form
    21,521/32,282.72 = 7,670/x
  3. Step 3: Cross multiply
    21,521x = 32,282.72 × 7,670
  4. Step 4: Simplify right side
    21,521x = 247,608,462.40
  5. Step 5: Solve for x
    x = 247,608,462.40/21,521
  6. Step 6: Final answer
    x = 11,505.43

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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.