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Finding the Fourth Proportional to 21,400.32, 32,104.32 and 8,251.32

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Solution

The fourth proportional to 21,400.32, 32,104.32 and 8,251.32 is: 12,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.32 : 32,104.32 = 8,251.32 : x
  2. Step 2: Convert to fraction form
    21,400.32/32,104.32 = 8,251.32/x
  3. Step 3: Cross multiply
    21,400.32x = 32,104.32 × 8,251.32
  4. Step 4: Simplify right side
    21,400.32x = 264,903,017.70
  5. Step 5: Solve for x
    x = 264,903,017.70/21,400.32
  6. Step 6: Final answer
    x = 12,378.46

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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.