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Finding the Fourth Proportional to 21,782.34, 32,675.01 and 8,634.69

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Solution

The fourth proportional to 21,782.34, 32,675.01 and 8,634.69 is: 12,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.34 : 32,675.01 = 8,634.69 : x
  2. Step 2: Convert to fraction form
    21,782.34/32,675.01 = 8,634.69/x
  3. Step 3: Cross multiply
    21,782.34x = 32,675.01 × 8,634.69
  4. Step 4: Simplify right side
    21,782.34x = 282,138,582.10
  5. Step 5: Solve for x
    x = 282,138,582.10/21,782.34
  6. Step 6: Final answer
    x = 12,952.63

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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.