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Finding the Fourth Proportional to 4,900.71, 7,352.13 and 1,613.64

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Solution

The fourth proportional to 4,900.71, 7,352.13 and 1,613.64 is: 2,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.71 : 7,352.13 = 1,613.64 : x
  2. Step 2: Convert to fraction form
    4,900.71/7,352.13 = 1,613.64/x
  3. Step 3: Cross multiply
    4,900.71x = 7,352.13 × 1,613.64
  4. Step 4: Simplify right side
    4,900.71x = 11,863,691.05
  5. Step 5: Solve for x
    x = 11,863,691.05/4,900.71
  6. Step 6: Final answer
    x = 2,420.81

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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.