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Finding the Fourth Proportional to 15,696.62, 21,662.85 and 8,983.20

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Solution

The fourth proportional to 15,696.62, 21,662.85 and 8,983.20 is: 12,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.62 : 21,662.85 = 8,983.20 : x
  2. Step 2: Convert to fraction form
    15,696.62/21,662.85 = 8,983.20/x
  3. Step 3: Cross multiply
    15,696.62x = 21,662.85 × 8,983.20
  4. Step 4: Simplify right side
    15,696.62x = 194,601,714.12
  5. Step 5: Solve for x
    x = 194,601,714.12/15,696.62
  6. Step 6: Final answer
    x = 12,397.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.