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Finding the Fourth Proportional to 21,362.32, 32,019 and 8,207.92

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Solution

The fourth proportional to 21,362.32, 32,019 and 8,207.92 is: 12,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.32 : 32,019 = 8,207.92 : x
  2. Step 2: Convert to fraction form
    21,362.32/32,019 = 8,207.92/x
  3. Step 3: Cross multiply
    21,362.32x = 32,019 × 8,207.92
  4. Step 4: Simplify right side
    21,362.32x = 262,809,390.48
  5. Step 5: Solve for x
    x = 262,809,390.48/21,362.32
  6. Step 6: Final answer
    x = 12,302.47

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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.