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Finding the Fourth Proportional to 3,813.79, 5,709.90 and 2,423.68

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Solution

The fourth proportional to 3,813.79, 5,709.90 and 2,423.68 is: 3,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.79 : 5,709.90 = 2,423.68 : x
  2. Step 2: Convert to fraction form
    3,813.79/5,709.90 = 2,423.68/x
  3. Step 3: Cross multiply
    3,813.79x = 5,709.90 × 2,423.68
  4. Step 4: Simplify right side
    3,813.79x = 13,838,970.43
  5. Step 5: Solve for x
    x = 13,838,970.43/3,813.79
  6. Step 6: Final answer
    x = 3,628.67

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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.