Home / 4,080-6,119.84-1,158.24

Finding the Fourth Proportional to 4,080, 6,119.84 and 1,158.24

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Solution

The fourth proportional to 4,080, 6,119.84 and 1,158.24 is: 1,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 6,119.84 = 1,158.24 : x
  2. Step 2: Convert to fraction form
    4,080/6,119.84 = 1,158.24/x
  3. Step 3: Cross multiply
    4,080x = 6,119.84 × 1,158.24
  4. Step 4: Simplify right side
    4,080x = 7,088,243.48
  5. Step 5: Solve for x
    x = 7,088,243.48/4,080
  6. Step 6: Final answer
    x = 1,737.31

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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.