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Finding the Fourth Proportional to 14,143.91, 19,516.42 and 8,174.42

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Solution

The fourth proportional to 14,143.91, 19,516.42 and 8,174.42 is: 11,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.91 : 19,516.42 = 8,174.42 : x
  2. Step 2: Convert to fraction form
    14,143.91/19,516.42 = 8,174.42/x
  3. Step 3: Cross multiply
    14,143.91x = 19,516.42 × 8,174.42
  4. Step 4: Simplify right side
    14,143.91x = 159,535,373.10
  5. Step 5: Solve for x
    x = 159,535,373.10/14,143.91
  6. Step 6: Final answer
    x = 11,279.44

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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.