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Finding the Fourth Proportional to 19,823.10, 29,709.45 and 8,123.10

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Solution

The fourth proportional to 19,823.10, 29,709.45 and 8,123.10 is: 12,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.10 : 29,709.45 = 8,123.10 : x
  2. Step 2: Convert to fraction form
    19,823.10/29,709.45 = 8,123.10/x
  3. Step 3: Cross multiply
    19,823.10x = 29,709.45 × 8,123.10
  4. Step 4: Simplify right side
    19,823.10x = 241,332,833.30
  5. Step 5: Solve for x
    x = 241,332,833.30/19,823.10
  6. Step 6: Final answer
    x = 12,174.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.