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Finding the Fourth Proportional to 7,811.39, 11,698.31 and 4,469.51

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Solution

The fourth proportional to 7,811.39, 11,698.31 and 4,469.51 is: 6,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.39 : 11,698.31 = 4,469.51 : x
  2. Step 2: Convert to fraction form
    7,811.39/11,698.31 = 4,469.51/x
  3. Step 3: Cross multiply
    7,811.39x = 11,698.31 × 4,469.51
  4. Step 4: Simplify right side
    7,811.39x = 52,285,691.18
  5. Step 5: Solve for x
    x = 52,285,691.18/7,811.39
  6. Step 6: Final answer
    x = 6,693.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.