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Finding the Fourth Proportional to 8,149, 11,242.14 and 6,257.32

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Solution

The fourth proportional to 8,149, 11,242.14 and 6,257.32 is: 8,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149 : 11,242.14 = 6,257.32 : x
  2. Step 2: Convert to fraction form
    8,149/11,242.14 = 6,257.32/x
  3. Step 3: Cross multiply
    8,149x = 11,242.14 × 6,257.32
  4. Step 4: Simplify right side
    8,149x = 70,345,667.46
  5. Step 5: Solve for x
    x = 70,345,667.46/8,149
  6. Step 6: Final answer
    x = 8,632.43

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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.