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Finding the Fourth Proportional to 2,380.25, 3,570.92 and 841.25

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Solution

The fourth proportional to 2,380.25, 3,570.92 and 841.25 is: 1,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.25 : 3,570.92 = 841.25 : x
  2. Step 2: Convert to fraction form
    2,380.25/3,570.92 = 841.25/x
  3. Step 3: Cross multiply
    2,380.25x = 3,570.92 × 841.25
  4. Step 4: Simplify right side
    2,380.25x = 3,004,036.45
  5. Step 5: Solve for x
    x = 3,004,036.45/2,380.25
  6. Step 6: Final answer
    x = 1,262.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.