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Finding the Fourth Proportional to 19,123.14, 28,684.71 and 6,811.14

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Solution

The fourth proportional to 19,123.14, 28,684.71 and 6,811.14 is: 10,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.14 : 28,684.71 = 6,811.14 : x
  2. Step 2: Convert to fraction form
    19,123.14/28,684.71 = 6,811.14/x
  3. Step 3: Cross multiply
    19,123.14x = 28,684.71 × 6,811.14
  4. Step 4: Simplify right side
    19,123.14x = 195,375,575.67
  5. Step 5: Solve for x
    x = 195,375,575.67/19,123.14
  6. Step 6: Final answer
    x = 10,216.71

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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.