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Finding the Fourth Proportional to 5,686.74, 7,844.85 and 3,820.50

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Solution

The fourth proportional to 5,686.74, 7,844.85 and 3,820.50 is: 5,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.74 : 7,844.85 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    5,686.74/7,844.85 = 3,820.50/x
  3. Step 3: Cross multiply
    5,686.74x = 7,844.85 × 3,820.50
  4. Step 4: Simplify right side
    5,686.74x = 29,971,249.43
  5. Step 5: Solve for x
    x = 29,971,249.43/5,686.74
  6. Step 6: Final answer
    x = 5,270.37

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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.