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Finding the Fourth Proportional to 3,434.22, 4,739.22 and 2,017.80

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Solution

The fourth proportional to 3,434.22, 4,739.22 and 2,017.80 is: 2,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.22 : 4,739.22 = 2,017.80 : x
  2. Step 2: Convert to fraction form
    3,434.22/4,739.22 = 2,017.80/x
  3. Step 3: Cross multiply
    3,434.22x = 4,739.22 × 2,017.80
  4. Step 4: Simplify right side
    3,434.22x = 9,562,798.12
  5. Step 5: Solve for x
    x = 9,562,798.12/3,434.22
  6. Step 6: Final answer
    x = 2,784.56

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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.