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Finding the Fourth Proportional to 3,104.82, 4,657.25 and 913.58

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Solution

The fourth proportional to 3,104.82, 4,657.25 and 913.58 is: 1,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.82 : 4,657.25 = 913.58 : x
  2. Step 2: Convert to fraction form
    3,104.82/4,657.25 = 913.58/x
  3. Step 3: Cross multiply
    3,104.82x = 4,657.25 × 913.58
  4. Step 4: Simplify right side
    3,104.82x = 4,254,742.60
  5. Step 5: Solve for x
    x = 4,254,742.60/3,104.82
  6. Step 6: Final answer
    x = 1,370.37

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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.