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Finding the Fourth Proportional to 4,906.42, 7,358.91 and 1,619.62

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Solution

The fourth proportional to 4,906.42, 7,358.91 and 1,619.62 is: 2,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.42 : 7,358.91 = 1,619.62 : x
  2. Step 2: Convert to fraction form
    4,906.42/7,358.91 = 1,619.62/x
  3. Step 3: Cross multiply
    4,906.42x = 7,358.91 × 1,619.62
  4. Step 4: Simplify right side
    4,906.42x = 11,918,637.81
  5. Step 5: Solve for x
    x = 11,918,637.81/4,906.42
  6. Step 6: Final answer
    x = 2,429.19

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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.