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Finding the Fourth Proportional to 5,648.82, 7,795.14 and 3,131.04

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Solution

The fourth proportional to 5,648.82, 7,795.14 and 3,131.04 is: 4,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.82 : 7,795.14 = 3,131.04 : x
  2. Step 2: Convert to fraction form
    5,648.82/7,795.14 = 3,131.04/x
  3. Step 3: Cross multiply
    5,648.82x = 7,795.14 × 3,131.04
  4. Step 4: Simplify right side
    5,648.82x = 24,406,895.15
  5. Step 5: Solve for x
    x = 24,406,895.15/5,648.82
  6. Step 6: Final answer
    x = 4,320.71

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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.