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Finding the Fourth Proportional to 7,801.58, 11,716.47 and 7,175.75

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Solution

The fourth proportional to 7,801.58, 11,716.47 and 7,175.75 is: 10,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.58 : 11,716.47 = 7,175.75 : x
  2. Step 2: Convert to fraction form
    7,801.58/11,716.47 = 7,175.75/x
  3. Step 3: Cross multiply
    7,801.58x = 11,716.47 × 7,175.75
  4. Step 4: Simplify right side
    7,801.58x = 84,074,473.31
  5. Step 5: Solve for x
    x = 84,074,473.31/7,801.58
  6. Step 6: Final answer
    x = 10,776.59

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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.