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Finding the Fourth Proportional to 14,516, 20,034.72 and 8,228.48

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Solution

The fourth proportional to 14,516, 20,034.72 and 8,228.48 is: 11,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516 : 20,034.72 = 8,228.48 : x
  2. Step 2: Convert to fraction form
    14,516/20,034.72 = 8,228.48/x
  3. Step 3: Cross multiply
    14,516x = 20,034.72 × 8,228.48
  4. Step 4: Simplify right side
    14,516x = 164,855,292.83
  5. Step 5: Solve for x
    x = 164,855,292.83/14,516
  6. Step 6: Final answer
    x = 11,356.80

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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.