Home / 2,906-4,011.69-1,787.19

Finding the Fourth Proportional to 2,906, 4,011.69 and 1,787.19

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Solution

The fourth proportional to 2,906, 4,011.69 and 1,787.19 is: 2,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 4,011.69 = 1,787.19 : x
  2. Step 2: Convert to fraction form
    2,906/4,011.69 = 1,787.19/x
  3. Step 3: Cross multiply
    2,906x = 4,011.69 × 1,787.19
  4. Step 4: Simplify right side
    2,906x = 7,169,652.25
  5. Step 5: Solve for x
    x = 7,169,652.25/2,906
  6. Step 6: Final answer
    x = 2,467.19

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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.