Home / 4,082-5,632.40-2,402.96

Finding the Fourth Proportional to 4,082, 5,632.40 and 2,402.96

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Solution

The fourth proportional to 4,082, 5,632.40 and 2,402.96 is: 3,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 5,632.40 = 2,402.96 : x
  2. Step 2: Convert to fraction form
    4,082/5,632.40 = 2,402.96/x
  3. Step 3: Cross multiply
    4,082x = 5,632.40 × 2,402.96
  4. Step 4: Simplify right side
    4,082x = 13,534,431.90
  5. Step 5: Solve for x
    x = 13,534,431.90/4,082
  6. Step 6: Final answer
    x = 3,315.64

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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.