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Finding the Fourth Proportional to 5,709.36, 7,869.49 and 3,820.27

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Solution

The fourth proportional to 5,709.36, 7,869.49 and 3,820.27 is: 5,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.36 : 7,869.49 = 3,820.27 : x
  2. Step 2: Convert to fraction form
    5,709.36/7,869.49 = 3,820.27/x
  3. Step 3: Cross multiply
    5,709.36x = 7,869.49 × 3,820.27
  4. Step 4: Simplify right side
    5,709.36x = 30,063,518.11
  5. Step 5: Solve for x
    x = 30,063,518.11/5,709.36
  6. Step 6: Final answer
    x = 5,265.65

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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.