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Finding the Fourth Proportional to 7,781.40, 10,739.25 and 4,425.26

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Solution

The fourth proportional to 7,781.40, 10,739.25 and 4,425.26 is: 6,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.40 : 10,739.25 = 4,425.26 : x
  2. Step 2: Convert to fraction form
    7,781.40/10,739.25 = 4,425.26/x
  3. Step 3: Cross multiply
    7,781.40x = 10,739.25 × 4,425.26
  4. Step 4: Simplify right side
    7,781.40x = 47,523,919.76
  5. Step 5: Solve for x
    x = 47,523,919.76/7,781.40
  6. Step 6: Final answer
    x = 6,107.37

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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.