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Finding the Fourth Proportional to 6,080, 9,120.16 and 1,976

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Solution

The fourth proportional to 6,080, 9,120.16 and 1,976 is: 2,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 9,120.16 = 1,976 : x
  2. Step 2: Convert to fraction form
    6,080/9,120.16 = 1,976/x
  3. Step 3: Cross multiply
    6,080x = 9,120.16 × 1,976
  4. Step 4: Simplify right side
    6,080x = 18,021,436.16
  5. Step 5: Solve for x
    x = 18,021,436.16/6,080
  6. Step 6: Final answer
    x = 2,964.05

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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.