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Finding the Fourth Proportional to 5,729.26, 7,900.14 and 4,976.77

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Solution

The fourth proportional to 5,729.26, 7,900.14 and 4,976.77 is: 6,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.26 : 7,900.14 = 4,976.77 : x
  2. Step 2: Convert to fraction form
    5,729.26/7,900.14 = 4,976.77/x
  3. Step 3: Cross multiply
    5,729.26x = 7,900.14 × 4,976.77
  4. Step 4: Simplify right side
    5,729.26x = 39,317,179.75
  5. Step 5: Solve for x
    x = 39,317,179.75/5,729.26
  6. Step 6: Final answer
    x = 6,862.52

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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.