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Finding the Fourth Proportional to 8,410.85, 11,606.10 and 5,180.15

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Solution

The fourth proportional to 8,410.85, 11,606.10 and 5,180.15 is: 7,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.85 : 11,606.10 = 5,180.15 : x
  2. Step 2: Convert to fraction form
    8,410.85/11,606.10 = 5,180.15/x
  3. Step 3: Cross multiply
    8,410.85x = 11,606.10 × 5,180.15
  4. Step 4: Simplify right side
    8,410.85x = 60,121,304.98
  5. Step 5: Solve for x
    x = 60,121,304.98/8,410.85
  6. Step 6: Final answer
    x = 7,148.07

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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.