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Finding the Fourth Proportional to 21,682.26, 32,511.87 and 9,985.50

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Solution

The fourth proportional to 21,682.26, 32,511.87 and 9,985.50 is: 14,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.26 : 32,511.87 = 9,985.50 : x
  2. Step 2: Convert to fraction form
    21,682.26/32,511.87 = 9,985.50/x
  3. Step 3: Cross multiply
    21,682.26x = 32,511.87 × 9,985.50
  4. Step 4: Simplify right side
    21,682.26x = 324,647,277.89
  5. Step 5: Solve for x
    x = 324,647,277.89/21,682.26
  6. Step 6: Final answer
    x = 14,972.94

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1.5x scale

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.