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Finding the Fourth Proportional to 3,311.75, 4,570.05 and 1,985.20

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Solution

The fourth proportional to 3,311.75, 4,570.05 and 1,985.20 is: 2,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.75 : 4,570.05 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    3,311.75/4,570.05 = 1,985.20/x
  3. Step 3: Cross multiply
    3,311.75x = 4,570.05 × 1,985.20
  4. Step 4: Simplify right side
    3,311.75x = 9,072,463.26
  5. Step 5: Solve for x
    x = 9,072,463.26/3,311.75
  6. Step 6: Final answer
    x = 2,739.48

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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.