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Finding the Fourth Proportional to 21,600, 32,344.32 and 12,840.96

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Solution

The fourth proportional to 21,600, 32,344.32 and 12,840.96 is: 19,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 32,344.32 = 12,840.96 : x
  2. Step 2: Convert to fraction form
    21,600/32,344.32 = 12,840.96/x
  3. Step 3: Cross multiply
    21,600x = 32,344.32 × 12,840.96
  4. Step 4: Simplify right side
    21,600x = 415,332,119.35
  5. Step 5: Solve for x
    x = 415,332,119.35/21,600
  6. Step 6: Final answer
    x = 19,228.34

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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.