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Finding the Fourth Proportional to 21,687.10, 32,530.87 and 7,644.51

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Solution

The fourth proportional to 21,687.10, 32,530.87 and 7,644.51 is: 11,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.10 : 32,530.87 = 7,644.51 : x
  2. Step 2: Convert to fraction form
    21,687.10/32,530.87 = 7,644.51/x
  3. Step 3: Cross multiply
    21,687.10x = 32,530.87 × 7,644.51
  4. Step 4: Simplify right side
    21,687.10x = 248,682,561.02
  5. Step 5: Solve for x
    x = 248,682,561.02/21,687.10
  6. Step 6: Final answer
    x = 11,466.84

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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.