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Finding the Fourth Proportional to 2,334.38, 3,501.90 and 853.67

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Solution

The fourth proportional to 2,334.38, 3,501.90 and 853.67 is: 1,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.38 : 3,501.90 = 853.67 : x
  2. Step 2: Convert to fraction form
    2,334.38/3,501.90 = 853.67/x
  3. Step 3: Cross multiply
    2,334.38x = 3,501.90 × 853.67
  4. Step 4: Simplify right side
    2,334.38x = 2,989,466.97
  5. Step 5: Solve for x
    x = 2,989,466.97/2,334.38
  6. Step 6: Final answer
    x = 1,280.63

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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.