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Finding the Fourth Proportional to 5,687.58, 7,850.07 and 3,823.50

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Solution

The fourth proportional to 5,687.58, 7,850.07 and 3,823.50 is: 5,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.58 : 7,850.07 = 3,823.50 : x
  2. Step 2: Convert to fraction form
    5,687.58/7,850.07 = 3,823.50/x
  3. Step 3: Cross multiply
    5,687.58x = 7,850.07 × 3,823.50
  4. Step 4: Simplify right side
    5,687.58x = 30,014,742.65
  5. Step 5: Solve for x
    x = 30,014,742.65/5,687.58
  6. Step 6: Final answer
    x = 5,277.24

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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.