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Finding the Fourth Proportional to 10,103.81, 13,943.04 and 5,627.54

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Solution

The fourth proportional to 10,103.81, 13,943.04 and 5,627.54 is: 7,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.81 : 13,943.04 = 5,627.54 : x
  2. Step 2: Convert to fraction form
    10,103.81/13,943.04 = 5,627.54/x
  3. Step 3: Cross multiply
    10,103.81x = 13,943.04 × 5,627.54
  4. Step 4: Simplify right side
    10,103.81x = 78,465,029.08
  5. Step 5: Solve for x
    x = 78,465,029.08/10,103.81
  6. Step 6: Final answer
    x = 7,765.89

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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.