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Finding the Fourth Proportional to 14,469, 19,967.34 and 7,845

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Solution

The fourth proportional to 14,469, 19,967.34 and 7,845 is: 10,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469 : 19,967.34 = 7,845 : x
  2. Step 2: Convert to fraction form
    14,469/19,967.34 = 7,845/x
  3. Step 3: Cross multiply
    14,469x = 19,967.34 × 7,845
  4. Step 4: Simplify right side
    14,469x = 156,643,782.30
  5. Step 5: Solve for x
    x = 156,643,782.30/14,469
  6. Step 6: Final answer
    x = 10,826.17

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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.