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Finding the Fourth Proportional to 5,234.64, 7,845.28 and 2,455.18

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Solution

The fourth proportional to 5,234.64, 7,845.28 and 2,455.18 is: 3,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.64 : 7,845.28 = 2,455.18 : x
  2. Step 2: Convert to fraction form
    5,234.64/7,845.28 = 2,455.18/x
  3. Step 3: Cross multiply
    5,234.64x = 7,845.28 × 2,455.18
  4. Step 4: Simplify right side
    5,234.64x = 19,261,574.55
  5. Step 5: Solve for x
    x = 19,261,574.55/5,234.64
  6. Step 6: Final answer
    x = 3,679.64

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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.