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Finding the Fourth Proportional to 13,917.84, 20,866.82 and 6,518.24

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Solution

The fourth proportional to 13,917.84, 20,866.82 and 6,518.24 is: 9,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.84 : 20,866.82 = 6,518.24 : x
  2. Step 2: Convert to fraction form
    13,917.84/20,866.82 = 6,518.24/x
  3. Step 3: Cross multiply
    13,917.84x = 20,866.82 × 6,518.24
  4. Step 4: Simplify right side
    13,917.84x = 136,014,940.80
  5. Step 5: Solve for x
    x = 136,014,940.80/13,917.84
  6. Step 6: Final answer
    x = 9,772.70

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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.