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Finding the Fourth Proportional to 15,123, 20,866.68 and 8,834.16

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Solution

The fourth proportional to 15,123, 20,866.68 and 8,834.16 is: 12,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123 : 20,866.68 = 8,834.16 : x
  2. Step 2: Convert to fraction form
    15,123/20,866.68 = 8,834.16/x
  3. Step 3: Cross multiply
    15,123x = 20,866.68 × 8,834.16
  4. Step 4: Simplify right side
    15,123x = 184,339,589.79
  5. Step 5: Solve for x
    x = 184,339,589.79/15,123
  6. Step 6: Final answer
    x = 12,189.35

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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.