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Finding the Fourth Proportional to 8,507.19, 11,742.27 and 5,149.47

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Solution

The fourth proportional to 8,507.19, 11,742.27 and 5,149.47 is: 7,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.19 : 11,742.27 = 5,149.47 : x
  2. Step 2: Convert to fraction form
    8,507.19/11,742.27 = 5,149.47/x
  3. Step 3: Cross multiply
    8,507.19x = 11,742.27 × 5,149.47
  4. Step 4: Simplify right side
    8,507.19x = 60,466,467.10
  5. Step 5: Solve for x
    x = 60,466,467.10/8,507.19
  6. Step 6: Final answer
    x = 7,107.69

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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.