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Finding the Fourth Proportional to 5,696.87, 7,860.74 and 3,805.42

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Solution

The fourth proportional to 5,696.87, 7,860.74 and 3,805.42 is: 5,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.87 : 7,860.74 = 3,805.42 : x
  2. Step 2: Convert to fraction form
    5,696.87/7,860.74 = 3,805.42/x
  3. Step 3: Cross multiply
    5,696.87x = 7,860.74 × 3,805.42
  4. Step 4: Simplify right side
    5,696.87x = 29,913,417.21
  5. Step 5: Solve for x
    x = 29,913,417.21/5,696.87
  6. Step 6: Final answer
    x = 5,250.85

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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.