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Finding the Fourth Proportional to 9,997.68, 14,996.16 and 3,072

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Solution

The fourth proportional to 9,997.68, 14,996.16 and 3,072 is: 4,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.68 : 14,996.16 = 3,072 : x
  2. Step 2: Convert to fraction form
    9,997.68/14,996.16 = 3,072/x
  3. Step 3: Cross multiply
    9,997.68x = 14,996.16 × 3,072
  4. Step 4: Simplify right side
    9,997.68x = 46,068,203.52
  5. Step 5: Solve for x
    x = 46,068,203.52/9,997.68
  6. Step 6: Final answer
    x = 4,607.89

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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.