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Finding the Fourth Proportional to 10,138.47, 13,991.12 and 5,662.39

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Solution

The fourth proportional to 10,138.47, 13,991.12 and 5,662.39 is: 7,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.47 : 13,991.12 = 5,662.39 : x
  2. Step 2: Convert to fraction form
    10,138.47/13,991.12 = 5,662.39/x
  3. Step 3: Cross multiply
    10,138.47x = 13,991.12 × 5,662.39
  4. Step 4: Simplify right side
    10,138.47x = 79,223,149.66
  5. Step 5: Solve for x
    x = 79,223,149.66/10,138.47
  6. Step 6: Final answer
    x = 7,814.11

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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.