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Finding the Fourth Proportional to 13,684.64, 20,521.92 and 4,917.20

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Solution

The fourth proportional to 13,684.64, 20,521.92 and 4,917.20 is: 7,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.64 : 20,521.92 = 4,917.20 : x
  2. Step 2: Convert to fraction form
    13,684.64/20,521.92 = 4,917.20/x
  3. Step 3: Cross multiply
    13,684.64x = 20,521.92 × 4,917.20
  4. Step 4: Simplify right side
    13,684.64x = 100,910,385.02
  5. Step 5: Solve for x
    x = 100,910,385.02/13,684.64
  6. Step 6: Final answer
    x = 7,373.99

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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.