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Finding the Fourth Proportional to 3,410.75, 4,706.02 and 1,918.37

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Solution

The fourth proportional to 3,410.75, 4,706.02 and 1,918.37 is: 2,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.75 : 4,706.02 = 1,918.37 : x
  2. Step 2: Convert to fraction form
    3,410.75/4,706.02 = 1,918.37/x
  3. Step 3: Cross multiply
    3,410.75x = 4,706.02 × 1,918.37
  4. Step 4: Simplify right side
    3,410.75x = 9,027,887.59
  5. Step 5: Solve for x
    x = 9,027,887.59/3,410.75
  6. Step 6: Final answer
    x = 2,646.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.