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Finding the Fourth Proportional to 21,762, 32,645.40 and 6,967.44

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Solution

The fourth proportional to 21,762, 32,645.40 and 6,967.44 is: 10,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762 : 32,645.40 = 6,967.44 : x
  2. Step 2: Convert to fraction form
    21,762/32,645.40 = 6,967.44/x
  3. Step 3: Cross multiply
    21,762x = 32,645.40 × 6,967.44
  4. Step 4: Simplify right side
    21,762x = 227,454,865.78
  5. Step 5: Solve for x
    x = 227,454,865.78/21,762
  6. Step 6: Final answer
    x = 10,451.93

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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.