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Finding the Fourth Proportional to 8,357.30, 12,584.78 and 6,181.34

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Solution

The fourth proportional to 8,357.30, 12,584.78 and 6,181.34 is: 9,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.30 : 12,584.78 = 6,181.34 : x
  2. Step 2: Convert to fraction form
    8,357.30/12,584.78 = 6,181.34/x
  3. Step 3: Cross multiply
    8,357.30x = 12,584.78 × 6,181.34
  4. Step 4: Simplify right side
    8,357.30x = 77,790,804.01
  5. Step 5: Solve for x
    x = 77,790,804.01/8,357.30
  6. Step 6: Final answer
    x = 9,308.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.