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Finding the Fourth Proportional to 15,885.64, 21,922.32 and 8,812.24

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Solution

The fourth proportional to 15,885.64, 21,922.32 and 8,812.24 is: 12,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.64 : 21,922.32 = 8,812.24 : x
  2. Step 2: Convert to fraction form
    15,885.64/21,922.32 = 8,812.24/x
  3. Step 3: Cross multiply
    15,885.64x = 21,922.32 × 8,812.24
  4. Step 4: Simplify right side
    15,885.64x = 193,184,745.20
  5. Step 5: Solve for x
    x = 193,184,745.20/15,885.64
  6. Step 6: Final answer
    x = 12,160.97

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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.