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Finding the Fourth Proportional to 16,663.36, 23,000 and 10,372

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Solution

The fourth proportional to 16,663.36, 23,000 and 10,372 is: 14,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663.36 : 23,000 = 10,372 : x
  2. Step 2: Convert to fraction form
    16,663.36/23,000 = 10,372/x
  3. Step 3: Cross multiply
    16,663.36x = 23,000 × 10,372
  4. Step 4: Simplify right side
    16,663.36x = 238,556,000
  5. Step 5: Solve for x
    x = 238,556,000/16,663.36
  6. Step 6: Final answer
    x = 14,316.20

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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.