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Finding the Fourth Proportional to 11,138.54, 16,707.81 and 10,400.43

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Solution

The fourth proportional to 11,138.54, 16,707.81 and 10,400.43 is: 15,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.54 : 16,707.81 = 10,400.43 : x
  2. Step 2: Convert to fraction form
    11,138.54/16,707.81 = 10,400.43/x
  3. Step 3: Cross multiply
    11,138.54x = 16,707.81 × 10,400.43
  4. Step 4: Simplify right side
    11,138.54x = 173,768,366.40
  5. Step 5: Solve for x
    x = 173,768,366.40/11,138.54
  6. Step 6: Final answer
    x = 15,600.64

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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.