Home / 2,429.19-3,643.88-785.75

Finding the Fourth Proportional to 2,429.19, 3,643.88 and 785.75

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Solution

The fourth proportional to 2,429.19, 3,643.88 and 785.75 is: 1,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.19 : 3,643.88 = 785.75 : x
  2. Step 2: Convert to fraction form
    2,429.19/3,643.88 = 785.75/x
  3. Step 3: Cross multiply
    2,429.19x = 3,643.88 × 785.75
  4. Step 4: Simplify right side
    2,429.19x = 2,863,156.56
  5. Step 5: Solve for x
    x = 2,863,156.56/2,429.19
  6. Step 6: Final answer
    x = 1,178.65

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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.