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Finding the Fourth Proportional to 2,080, 3,115.56 and 1,347.40

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Solution

The fourth proportional to 2,080, 3,115.56 and 1,347.40 is: 2,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 3,115.56 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    2,080/3,115.56 = 1,347.40/x
  3. Step 3: Cross multiply
    2,080x = 3,115.56 × 1,347.40
  4. Step 4: Simplify right side
    2,080x = 4,197,905.54
  5. Step 5: Solve for x
    x = 4,197,905.54/2,080
  6. Step 6: Final answer
    x = 2,018.22

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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.