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Finding the Fourth Proportional to 21,498.40, 32,239.92 and 7,644.64

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Solution

The fourth proportional to 21,498.40, 32,239.92 and 7,644.64 is: 11,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.40 : 32,239.92 = 7,644.64 : x
  2. Step 2: Convert to fraction form
    21,498.40/32,239.92 = 7,644.64/x
  3. Step 3: Cross multiply
    21,498.40x = 32,239.92 × 7,644.64
  4. Step 4: Simplify right side
    21,498.40x = 246,462,582.03
  5. Step 5: Solve for x
    x = 246,462,582.03/21,498.40
  6. Step 6: Final answer
    x = 11,464.23

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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.