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Finding the Fourth Proportional to 21,961.50, 32,946.30 and 8,815.20

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Solution

The fourth proportional to 21,961.50, 32,946.30 and 8,815.20 is: 13,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961.50 : 32,946.30 = 8,815.20 : x
  2. Step 2: Convert to fraction form
    21,961.50/32,946.30 = 8,815.20/x
  3. Step 3: Cross multiply
    21,961.50x = 32,946.30 × 8,815.20
  4. Step 4: Simplify right side
    21,961.50x = 290,428,223.76
  5. Step 5: Solve for x
    x = 290,428,223.76/21,961.50
  6. Step 6: Final answer
    x = 13,224.43

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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.