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Finding the Fourth Proportional to 3,253.98, 4,880.38 and 913.41

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Solution

The fourth proportional to 3,253.98, 4,880.38 and 913.41 is: 1,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.98 : 4,880.38 = 913.41 : x
  2. Step 2: Convert to fraction form
    3,253.98/4,880.38 = 913.41/x
  3. Step 3: Cross multiply
    3,253.98x = 4,880.38 × 913.41
  4. Step 4: Simplify right side
    3,253.98x = 4,457,765.03
  5. Step 5: Solve for x
    x = 4,457,765.03/3,253.98
  6. Step 6: Final answer
    x = 1,369.94

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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.