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Finding the Fourth Proportional to 9,961, 14,941.62 and 4,489

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Solution

The fourth proportional to 9,961, 14,941.62 and 4,489 is: 6,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961 : 14,941.62 = 4,489 : x
  2. Step 2: Convert to fraction form
    9,961/14,941.62 = 4,489/x
  3. Step 3: Cross multiply
    9,961x = 14,941.62 × 4,489
  4. Step 4: Simplify right side
    9,961x = 67,072,932.18
  5. Step 5: Solve for x
    x = 67,072,932.18/9,961
  6. Step 6: Final answer
    x = 6,733.55

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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.