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Finding the Fourth Proportional to 21,687.16, 32,530.97 and 7,644.57

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Solution

The fourth proportional to 21,687.16, 32,530.97 and 7,644.57 is: 11,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.16 : 32,530.97 = 7,644.57 : x
  2. Step 2: Convert to fraction form
    21,687.16/32,530.97 = 7,644.57/x
  3. Step 3: Cross multiply
    21,687.16x = 32,530.97 × 7,644.57
  4. Step 4: Simplify right side
    21,687.16x = 248,685,076.46
  5. Step 5: Solve for x
    x = 248,685,076.46/21,687.16
  6. Step 6: Final answer
    x = 11,466.93

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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.