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Finding the Fourth Proportional to 7,107.55, 10,661.37 and 1,842.20

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Solution

The fourth proportional to 7,107.55, 10,661.37 and 1,842.20 is: 2,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.55 : 10,661.37 = 1,842.20 : x
  2. Step 2: Convert to fraction form
    7,107.55/10,661.37 = 1,842.20/x
  3. Step 3: Cross multiply
    7,107.55x = 10,661.37 × 1,842.20
  4. Step 4: Simplify right side
    7,107.55x = 19,640,366.60
  5. Step 5: Solve for x
    x = 19,640,366.60/7,107.55
  6. Step 6: Final answer
    x = 2,763.31

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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.