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Finding the Fourth Proportional to 21,929.86, 32,887.03 and 7,136.02

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Solution

The fourth proportional to 21,929.86, 32,887.03 and 7,136.02 is: 10,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.86 : 32,887.03 = 7,136.02 : x
  2. Step 2: Convert to fraction form
    21,929.86/32,887.03 = 7,136.02/x
  3. Step 3: Cross multiply
    21,929.86x = 32,887.03 × 7,136.02
  4. Step 4: Simplify right side
    21,929.86x = 234,682,503.82
  5. Step 5: Solve for x
    x = 234,682,503.82/21,929.86
  6. Step 6: Final answer
    x = 10,701.50

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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.