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Finding the Fourth Proportional to 8,509.07, 11,739.41 and 5,150.66

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Solution

The fourth proportional to 8,509.07, 11,739.41 and 5,150.66 is: 7,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.07 : 11,739.41 = 5,150.66 : x
  2. Step 2: Convert to fraction form
    8,509.07/11,739.41 = 5,150.66/x
  3. Step 3: Cross multiply
    8,509.07x = 11,739.41 × 5,150.66
  4. Step 4: Simplify right side
    8,509.07x = 60,465,625.06
  5. Step 5: Solve for x
    x = 60,465,625.06/8,509.07
  6. Step 6: Final answer
    x = 7,106.02

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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.