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Finding the Fourth Proportional to 5,729.56, 7,910.32 and 4,400.68

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Solution

The fourth proportional to 5,729.56, 7,910.32 and 4,400.68 is: 6,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.56 : 7,910.32 = 4,400.68 : x
  2. Step 2: Convert to fraction form
    5,729.56/7,910.32 = 4,400.68/x
  3. Step 3: Cross multiply
    5,729.56x = 7,910.32 × 4,400.68
  4. Step 4: Simplify right side
    5,729.56x = 34,810,787.02
  5. Step 5: Solve for x
    x = 34,810,787.02/5,729.56
  6. Step 6: Final answer
    x = 6,075.65

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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.