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Finding the Fourth Proportional to 9,515, 14,273.40 and 3,274.76

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Solution

The fourth proportional to 9,515, 14,273.40 and 3,274.76 is: 4,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515 : 14,273.40 = 3,274.76 : x
  2. Step 2: Convert to fraction form
    9,515/14,273.40 = 3,274.76/x
  3. Step 3: Cross multiply
    9,515x = 14,273.40 × 3,274.76
  4. Step 4: Simplify right side
    9,515x = 46,741,959.38
  5. Step 5: Solve for x
    x = 46,741,959.38/9,515
  6. Step 6: Final answer
    x = 4,912.45

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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.