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Finding the Fourth Proportional to 3,250, 4,485.70 and 2,070.80

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Solution

The fourth proportional to 3,250, 4,485.70 and 2,070.80 is: 2,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250 : 4,485.70 = 2,070.80 : x
  2. Step 2: Convert to fraction form
    3,250/4,485.70 = 2,070.80/x
  3. Step 3: Cross multiply
    3,250x = 4,485.70 × 2,070.80
  4. Step 4: Simplify right side
    3,250x = 9,288,987.56
  5. Step 5: Solve for x
    x = 9,288,987.56/3,250
  6. Step 6: Final answer
    x = 2,858.15

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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.