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Finding the Fourth Proportional to 5,145.87, 7,729.14 and 3,069.93

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Solution

The fourth proportional to 5,145.87, 7,729.14 and 3,069.93 is: 4,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.87 : 7,729.14 = 3,069.93 : x
  2. Step 2: Convert to fraction form
    5,145.87/7,729.14 = 3,069.93/x
  3. Step 3: Cross multiply
    5,145.87x = 7,729.14 × 3,069.93
  4. Step 4: Simplify right side
    5,145.87x = 23,727,959.26
  5. Step 5: Solve for x
    x = 23,727,959.26/5,145.87
  6. Step 6: Final answer
    x = 4,611.07

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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.