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Finding the Fourth Proportional to 2,246.32, 3,369.96 and 785.52

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Solution

The fourth proportional to 2,246.32, 3,369.96 and 785.52 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.32 : 3,369.96 = 785.52 : x
  2. Step 2: Convert to fraction form
    2,246.32/3,369.96 = 785.52/x
  3. Step 3: Cross multiply
    2,246.32x = 3,369.96 × 785.52
  4. Step 4: Simplify right side
    2,246.32x = 2,647,170.98
  5. Step 5: Solve for x
    x = 2,647,170.98/2,246.32
  6. Step 6: Final answer
    x = 1,178.45

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1.5x scale

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.