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Finding the Fourth Proportional to 13,428.78, 20,143.17 and 5,106.87

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Solution

The fourth proportional to 13,428.78, 20,143.17 and 5,106.87 is: 7,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.78 : 20,143.17 = 5,106.87 : x
  2. Step 2: Convert to fraction form
    13,428.78/20,143.17 = 5,106.87/x
  3. Step 3: Cross multiply
    13,428.78x = 20,143.17 × 5,106.87
  4. Step 4: Simplify right side
    13,428.78x = 102,868,550.58
  5. Step 5: Solve for x
    x = 102,868,550.58/13,428.78
  6. Step 6: Final answer
    x = 7,660.31

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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.