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Finding the Fourth Proportional to 2,765.52, 3,816.46 and 1,570.46

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Solution

The fourth proportional to 2,765.52, 3,816.46 and 1,570.46 is: 2,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.52 : 3,816.46 = 1,570.46 : x
  2. Step 2: Convert to fraction form
    2,765.52/3,816.46 = 1,570.46/x
  3. Step 3: Cross multiply
    2,765.52x = 3,816.46 × 1,570.46
  4. Step 4: Simplify right side
    2,765.52x = 5,993,608.44
  5. Step 5: Solve for x
    x = 5,993,608.44/2,765.52
  6. Step 6: Final answer
    x = 2,167.26

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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.