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Finding the Fourth Proportional to 3,508.96, 5,262.99 and 911.74

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Solution

The fourth proportional to 3,508.96, 5,262.99 and 911.74 is: 1,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.96 : 5,262.99 = 911.74 : x
  2. Step 2: Convert to fraction form
    3,508.96/5,262.99 = 911.74/x
  3. Step 3: Cross multiply
    3,508.96x = 5,262.99 × 911.74
  4. Step 4: Simplify right side
    3,508.96x = 4,798,478.50
  5. Step 5: Solve for x
    x = 4,798,478.50/3,508.96
  6. Step 6: Final answer
    x = 1,367.49

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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.