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Finding the Fourth Proportional to 5,311.96, 7,338 and 4,256.74

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Solution

The fourth proportional to 5,311.96, 7,338 and 4,256.74 is: 5,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.96 : 7,338 = 4,256.74 : x
  2. Step 2: Convert to fraction form
    5,311.96/7,338 = 4,256.74/x
  3. Step 3: Cross multiply
    5,311.96x = 7,338 × 4,256.74
  4. Step 4: Simplify right side
    5,311.96x = 31,235,921.43
  5. Step 5: Solve for x
    x = 31,235,921.43/5,311.96
  6. Step 6: Final answer
    x = 5,880.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.