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Finding the Fourth Proportional to 2,865.60, 4,296.96 and 917.34

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Solution

The fourth proportional to 2,865.60, 4,296.96 and 917.34 is: 1,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.60 : 4,296.96 = 917.34 : x
  2. Step 2: Convert to fraction form
    2,865.60/4,296.96 = 917.34/x
  3. Step 3: Cross multiply
    2,865.60x = 4,296.96 × 917.34
  4. Step 4: Simplify right side
    2,865.60x = 3,941,773.29
  5. Step 5: Solve for x
    x = 3,941,773.29/2,865.60
  6. Step 6: Final answer
    x = 1,375.55

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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.