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Finding the Fourth Proportional to 13,266.91, 18,309 and 7,299.37

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Solution

The fourth proportional to 13,266.91, 18,309 and 7,299.37 is: 10,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.91 : 18,309 = 7,299.37 : x
  2. Step 2: Convert to fraction form
    13,266.91/18,309 = 7,299.37/x
  3. Step 3: Cross multiply
    13,266.91x = 18,309 × 7,299.37
  4. Step 4: Simplify right side
    13,266.91x = 133,644,165.33
  5. Step 5: Solve for x
    x = 133,644,165.33/13,266.91
  6. Step 6: Final answer
    x = 10,073.50

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1.5x scale

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.