Home / 1,607.31-2,410.16-827.19

Finding the Fourth Proportional to 1,607.31, 2,410.16 and 827.19

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Solution

The fourth proportional to 1,607.31, 2,410.16 and 827.19 is: 1,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.31 : 2,410.16 = 827.19 : x
  2. Step 2: Convert to fraction form
    1,607.31/2,410.16 = 827.19/x
  3. Step 3: Cross multiply
    1,607.31x = 2,410.16 × 827.19
  4. Step 4: Simplify right side
    1,607.31x = 1,993,656.11
  5. Step 5: Solve for x
    x = 1,993,656.11/1,607.31
  6. Step 6: Final answer
    x = 1,240.37

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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.