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Finding the Fourth Proportional to 14,664, 20,178 and 14,255.76

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Solution

The fourth proportional to 14,664, 20,178 and 14,255.76 is: 19,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 20,178 = 14,255.76 : x
  2. Step 2: Convert to fraction form
    14,664/20,178 = 14,255.76/x
  3. Step 3: Cross multiply
    14,664x = 20,178 × 14,255.76
  4. Step 4: Simplify right side
    14,664x = 287,652,725.28
  5. Step 5: Solve for x
    x = 287,652,725.28/14,664
  6. Step 6: Final answer
    x = 19,616.25

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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.