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Finding the Fourth Proportional to 13,404.84, 20,106 and 10,518

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Solution

The fourth proportional to 13,404.84, 20,106 and 10,518 is: 15,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.84 : 20,106 = 10,518 : x
  2. Step 2: Convert to fraction form
    13,404.84/20,106 = 10,518/x
  3. Step 3: Cross multiply
    13,404.84x = 20,106 × 10,518
  4. Step 4: Simplify right side
    13,404.84x = 211,474,908
  5. Step 5: Solve for x
    x = 211,474,908/13,404.84
  6. Step 6: Final answer
    x = 15,776.01

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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.