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Finding the Fourth Proportional to 21,852.50, 32,778.84 and 8,001.50

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Solution

The fourth proportional to 21,852.50, 32,778.84 and 8,001.50 is: 12,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.50 : 32,778.84 = 8,001.50 : x
  2. Step 2: Convert to fraction form
    21,852.50/32,778.84 = 8,001.50/x
  3. Step 3: Cross multiply
    21,852.50x = 32,778.84 × 8,001.50
  4. Step 4: Simplify right side
    21,852.50x = 262,279,888.26
  5. Step 5: Solve for x
    x = 262,279,888.26/21,852.50
  6. Step 6: Final answer
    x = 12,002.28

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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.