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Finding the Fourth Proportional to 21,664.62, 32,498.09 and 6,874.70

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Solution

The fourth proportional to 21,664.62, 32,498.09 and 6,874.70 is: 10,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.62 : 32,498.09 = 6,874.70 : x
  2. Step 2: Convert to fraction form
    21,664.62/32,498.09 = 6,874.70/x
  3. Step 3: Cross multiply
    21,664.62x = 32,498.09 × 6,874.70
  4. Step 4: Simplify right side
    21,664.62x = 223,414,422.46
  5. Step 5: Solve for x
    x = 223,414,422.46/21,664.62
  6. Step 6: Final answer
    x = 10,312.41

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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.