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Finding the Fourth Proportional to 9,775.38, 14,665.78 and 4,512

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Solution

The fourth proportional to 9,775.38, 14,665.78 and 4,512 is: 6,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.38 : 14,665.78 = 4,512 : x
  2. Step 2: Convert to fraction form
    9,775.38/14,665.78 = 4,512/x
  3. Step 3: Cross multiply
    9,775.38x = 14,665.78 × 4,512
  4. Step 4: Simplify right side
    9,775.38x = 66,171,999.36
  5. Step 5: Solve for x
    x = 66,171,999.36/9,775.38
  6. Step 6: Final answer
    x = 6,769.25

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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.