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Finding the Fourth Proportional to 2,389.88, 3,584.55 and 829.61

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Solution

The fourth proportional to 2,389.88, 3,584.55 and 829.61 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.88 : 3,584.55 = 829.61 : x
  2. Step 2: Convert to fraction form
    2,389.88/3,584.55 = 829.61/x
  3. Step 3: Cross multiply
    2,389.88x = 3,584.55 × 829.61
  4. Step 4: Simplify right side
    2,389.88x = 2,973,778.53
  5. Step 5: Solve for x
    x = 2,973,778.53/2,389.88
  6. Step 6: Final answer
    x = 1,244.32

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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.