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Finding the Fourth Proportional to 13,699.82, 18,901.32 and 10,819.40

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Solution

The fourth proportional to 13,699.82, 18,901.32 and 10,819.40 is: 14,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.82 : 18,901.32 = 10,819.40 : x
  2. Step 2: Convert to fraction form
    13,699.82/18,901.32 = 10,819.40/x
  3. Step 3: Cross multiply
    13,699.82x = 18,901.32 × 10,819.40
  4. Step 4: Simplify right side
    13,699.82x = 204,500,847.10
  5. Step 5: Solve for x
    x = 204,500,847.10/13,699.82
  6. Step 6: Final answer
    x = 14,927.27

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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.