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Finding the Fourth Proportional to 21,754.25, 32,627.46 and 9,905.20

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Solution

The fourth proportional to 21,754.25, 32,627.46 and 9,905.20 is: 14,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.25 : 32,627.46 = 9,905.20 : x
  2. Step 2: Convert to fraction form
    21,754.25/32,627.46 = 9,905.20/x
  3. Step 3: Cross multiply
    21,754.25x = 32,627.46 × 9,905.20
  4. Step 4: Simplify right side
    21,754.25x = 323,181,516.79
  5. Step 5: Solve for x
    x = 323,181,516.79/21,754.25
  6. Step 6: Final answer
    x = 14,856.02

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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.