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Finding the Fourth Proportional to 14,254.08, 19,674 and 8,664

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Solution

The fourth proportional to 14,254.08, 19,674 and 8,664 is: 11,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.08 : 19,674 = 8,664 : x
  2. Step 2: Convert to fraction form
    14,254.08/19,674 = 8,664/x
  3. Step 3: Cross multiply
    14,254.08x = 19,674 × 8,664
  4. Step 4: Simplify right side
    14,254.08x = 170,455,536
  5. Step 5: Solve for x
    x = 170,455,536/14,254.08
  6. Step 6: Final answer
    x = 11,958.37

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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.