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Finding the Fourth Proportional to 5,673.85, 7,813.79 and 4,099.45

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Solution

The fourth proportional to 5,673.85, 7,813.79 and 4,099.45 is: 5,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.85 : 7,813.79 = 4,099.45 : x
  2. Step 2: Convert to fraction form
    5,673.85/7,813.79 = 4,099.45/x
  3. Step 3: Cross multiply
    5,673.85x = 7,813.79 × 4,099.45
  4. Step 4: Simplify right side
    5,673.85x = 32,032,220.92
  5. Step 5: Solve for x
    x = 32,032,220.92/5,673.85
  6. Step 6: Final answer
    x = 5,645.59

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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.