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Finding the Fourth Proportional to 21,852.56, 32,778.88 and 9,364.49

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Solution

The fourth proportional to 21,852.56, 32,778.88 and 9,364.49 is: 14,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.56 : 32,778.88 = 9,364.49 : x
  2. Step 2: Convert to fraction form
    21,852.56/32,778.88 = 9,364.49/x
  3. Step 3: Cross multiply
    21,852.56x = 32,778.88 × 9,364.49
  4. Step 4: Simplify right side
    21,852.56x = 306,957,283.25
  5. Step 5: Solve for x
    x = 306,957,283.25/21,852.56
  6. Step 6: Final answer
    x = 14,046.75

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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.