Home / 5,153.20-7,729.08-1,690

Finding the Fourth Proportional to 5,153.20, 7,729.08 and 1,690

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Solution

The fourth proportional to 5,153.20, 7,729.08 and 1,690 is: 2,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.20 : 7,729.08 = 1,690 : x
  2. Step 2: Convert to fraction form
    5,153.20/7,729.08 = 1,690/x
  3. Step 3: Cross multiply
    5,153.20x = 7,729.08 × 1,690
  4. Step 4: Simplify right side
    5,153.20x = 13,062,145.20
  5. Step 5: Solve for x
    x = 13,062,145.20/5,153.20
  6. Step 6: Final answer
    x = 2,534.76

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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.