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Finding the Fourth Proportional to 12,753, 17,600.76 and 7,164

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Solution

The fourth proportional to 12,753, 17,600.76 and 7,164 is: 9,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 17,600.76 = 7,164 : x
  2. Step 2: Convert to fraction form
    12,753/17,600.76 = 7,164/x
  3. Step 3: Cross multiply
    12,753x = 17,600.76 × 7,164
  4. Step 4: Simplify right side
    12,753x = 126,091,844.64
  5. Step 5: Solve for x
    x = 126,091,844.64/12,753
  6. Step 6: Final answer
    x = 9,887.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.