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Finding the Fourth Proportional to 1,807.44, 2,493.11 and 1,387.10

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Solution

The fourth proportional to 1,807.44, 2,493.11 and 1,387.10 is: 1,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.44 : 2,493.11 = 1,387.10 : x
  2. Step 2: Convert to fraction form
    1,807.44/2,493.11 = 1,387.10/x
  3. Step 3: Cross multiply
    1,807.44x = 2,493.11 × 1,387.10
  4. Step 4: Simplify right side
    1,807.44x = 3,458,183.88
  5. Step 5: Solve for x
    x = 3,458,183.88/1,807.44
  6. Step 6: Final answer
    x = 1,913.30

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1.5x scale

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.