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Finding the Fourth Proportional to 11,616.72, 17,415.30 and 9,420

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Solution

The fourth proportional to 11,616.72, 17,415.30 and 9,420 is: 14,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.72 : 17,415.30 = 9,420 : x
  2. Step 2: Convert to fraction form
    11,616.72/17,415.30 = 9,420/x
  3. Step 3: Cross multiply
    11,616.72x = 17,415.30 × 9,420
  4. Step 4: Simplify right side
    11,616.72x = 164,052,126
  5. Step 5: Solve for x
    x = 164,052,126/11,616.72
  6. Step 6: Final answer
    x = 14,122.07

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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.