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Finding the Fourth Proportional to 3,253.46, 4,880.98 and 913.46

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Solution

The fourth proportional to 3,253.46, 4,880.98 and 913.46 is: 1,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.46 : 4,880.98 = 913.46 : x
  2. Step 2: Convert to fraction form
    3,253.46/4,880.98 = 913.46/x
  3. Step 3: Cross multiply
    3,253.46x = 4,880.98 × 913.46
  4. Step 4: Simplify right side
    3,253.46x = 4,458,567.29
  5. Step 5: Solve for x
    x = 4,458,567.29/3,253.46
  6. Step 6: Final answer
    x = 1,370.41

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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.