Home / 2,080-3,122.40-1,056.16

Finding the Fourth Proportional to 2,080, 3,122.40 and 1,056.16

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Solution

The fourth proportional to 2,080, 3,122.40 and 1,056.16 is: 1,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 3,122.40 = 1,056.16 : x
  2. Step 2: Convert to fraction form
    2,080/3,122.40 = 1,056.16/x
  3. Step 3: Cross multiply
    2,080x = 3,122.40 × 1,056.16
  4. Step 4: Simplify right side
    2,080x = 3,297,753.98
  5. Step 5: Solve for x
    x = 3,297,753.98/2,080
  6. Step 6: Final answer
    x = 1,585.46

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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.