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Finding the Fourth Proportional to 2,765.96, 4,148.84 and 917.03

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Solution

The fourth proportional to 2,765.96, 4,148.84 and 917.03 is: 1,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.96 : 4,148.84 = 917.03 : x
  2. Step 2: Convert to fraction form
    2,765.96/4,148.84 = 917.03/x
  3. Step 3: Cross multiply
    2,765.96x = 4,148.84 × 917.03
  4. Step 4: Simplify right side
    2,765.96x = 3,804,585.42
  5. Step 5: Solve for x
    x = 3,804,585.42/2,765.96
  6. Step 6: Final answer
    x = 1,375.51

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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.