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Finding the Fourth Proportional to 4,605.78, 6,894 and 3,670.80

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Solution

The fourth proportional to 4,605.78, 6,894 and 3,670.80 is: 5,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.78 : 6,894 = 3,670.80 : x
  2. Step 2: Convert to fraction form
    4,605.78/6,894 = 3,670.80/x
  3. Step 3: Cross multiply
    4,605.78x = 6,894 × 3,670.80
  4. Step 4: Simplify right side
    4,605.78x = 25,306,495.20
  5. Step 5: Solve for x
    x = 25,306,495.20/4,605.78
  6. Step 6: Final answer
    x = 5,494.51

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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.