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Finding the Fourth Proportional to 8,308.58, 11,458.14 and 6,189.31

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Solution

The fourth proportional to 8,308.58, 11,458.14 and 6,189.31 is: 8,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.58 : 11,458.14 = 6,189.31 : x
  2. Step 2: Convert to fraction form
    8,308.58/11,458.14 = 6,189.31/x
  3. Step 3: Cross multiply
    8,308.58x = 11,458.14 × 6,189.31
  4. Step 4: Simplify right side
    8,308.58x = 70,917,923.19
  5. Step 5: Solve for x
    x = 70,917,923.19/8,308.58
  6. Step 6: Final answer
    x = 8,535.50

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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.