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Finding the Fourth Proportional to 4,570.78, 6,845.21 and 2,485.61

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Solution

The fourth proportional to 4,570.78, 6,845.21 and 2,485.61 is: 3,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.78 : 6,845.21 = 2,485.61 : x
  2. Step 2: Convert to fraction form
    4,570.78/6,845.21 = 2,485.61/x
  3. Step 3: Cross multiply
    4,570.78x = 6,845.21 × 2,485.61
  4. Step 4: Simplify right side
    4,570.78x = 17,014,522.43
  5. Step 5: Solve for x
    x = 17,014,522.43/4,570.78
  6. Step 6: Final answer
    x = 3,722.45

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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.