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Finding the Fourth Proportional to 5,806.50, 8,709.79 and 1,423.96

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Solution

The fourth proportional to 5,806.50, 8,709.79 and 1,423.96 is: 2,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.50 : 8,709.79 = 1,423.96 : x
  2. Step 2: Convert to fraction form
    5,806.50/8,709.79 = 1,423.96/x
  3. Step 3: Cross multiply
    5,806.50x = 8,709.79 × 1,423.96
  4. Step 4: Simplify right side
    5,806.50x = 12,402,384.15
  5. Step 5: Solve for x
    x = 12,402,384.15/5,806.50
  6. Step 6: Final answer
    x = 2,135.95

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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.