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Finding the Fourth Proportional to 5,673.38, 7,829.91 and 3,315.38

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Solution

The fourth proportional to 5,673.38, 7,829.91 and 3,315.38 is: 4,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.38 : 7,829.91 = 3,315.38 : x
  2. Step 2: Convert to fraction form
    5,673.38/7,829.91 = 3,315.38/x
  3. Step 3: Cross multiply
    5,673.38x = 7,829.91 × 3,315.38
  4. Step 4: Simplify right side
    5,673.38x = 25,959,087.87
  5. Step 5: Solve for x
    x = 25,959,087.87/5,673.38
  6. Step 6: Final answer
    x = 4,575.60

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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.