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Finding the Fourth Proportional to 3,505.86, 5,260.86 and 1,284.48

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Solution

The fourth proportional to 3,505.86, 5,260.86 and 1,284.48 is: 1,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.86 : 5,260.86 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    3,505.86/5,260.86 = 1,284.48/x
  3. Step 3: Cross multiply
    3,505.86x = 5,260.86 × 1,284.48
  4. Step 4: Simplify right side
    3,505.86x = 6,757,469.45
  5. Step 5: Solve for x
    x = 6,757,469.45/3,505.86
  6. Step 6: Final answer
    x = 1,927.48

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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.