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Finding the Fourth Proportional to 9,970, 14,961.48 and 3,814

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Solution

The fourth proportional to 9,970, 14,961.48 and 3,814 is: 5,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970 : 14,961.48 = 3,814 : x
  2. Step 2: Convert to fraction form
    9,970/14,961.48 = 3,814/x
  3. Step 3: Cross multiply
    9,970x = 14,961.48 × 3,814
  4. Step 4: Simplify right side
    9,970x = 57,063,084.72
  5. Step 5: Solve for x
    x = 57,063,084.72/9,970
  6. Step 6: Final answer
    x = 5,723.48

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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.