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Finding the Fourth Proportional to 2,392.62, 3,589.29 and 853.50

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Solution

The fourth proportional to 2,392.62, 3,589.29 and 853.50 is: 1,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.62 : 3,589.29 = 853.50 : x
  2. Step 2: Convert to fraction form
    2,392.62/3,589.29 = 853.50/x
  3. Step 3: Cross multiply
    2,392.62x = 3,589.29 × 853.50
  4. Step 4: Simplify right side
    2,392.62x = 3,063,459.02
  5. Step 5: Solve for x
    x = 3,063,459.02/2,392.62
  6. Step 6: Final answer
    x = 1,280.38

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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.