Home / 2,431.09-3,646.59-787.64

Finding the Fourth Proportional to 2,431.09, 3,646.59 and 787.64

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Solution

The fourth proportional to 2,431.09, 3,646.59 and 787.64 is: 1,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.09 : 3,646.59 = 787.64 : x
  2. Step 2: Convert to fraction form
    2,431.09/3,646.59 = 787.64/x
  3. Step 3: Cross multiply
    2,431.09x = 3,646.59 × 787.64
  4. Step 4: Simplify right side
    2,431.09x = 2,872,178.96
  5. Step 5: Solve for x
    x = 2,872,178.96/2,431.09
  6. Step 6: Final answer
    x = 1,181.44

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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.