Home / 5,102.09-7,652.12-1,403.36

Finding the Fourth Proportional to 5,102.09, 7,652.12 and 1,403.36

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Solution

The fourth proportional to 5,102.09, 7,652.12 and 1,403.36 is: 2,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.09 : 7,652.12 = 1,403.36 : x
  2. Step 2: Convert to fraction form
    5,102.09/7,652.12 = 1,403.36/x
  3. Step 3: Cross multiply
    5,102.09x = 7,652.12 × 1,403.36
  4. Step 4: Simplify right side
    5,102.09x = 10,738,679.12
  5. Step 5: Solve for x
    x = 10,738,679.12/5,102.09
  6. Step 6: Final answer
    x = 2,104.76

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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.