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Finding the Fourth Proportional to 6,813.36, 9,402.62 and 3,829.47

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Solution

The fourth proportional to 6,813.36, 9,402.62 and 3,829.47 is: 5,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.36 : 9,402.62 = 3,829.47 : x
  2. Step 2: Convert to fraction form
    6,813.36/9,402.62 = 3,829.47/x
  3. Step 3: Cross multiply
    6,813.36x = 9,402.62 × 3,829.47
  4. Step 4: Simplify right side
    6,813.36x = 36,007,051.21
  5. Step 5: Solve for x
    x = 36,007,051.21/6,813.36
  6. Step 6: Final answer
    x = 5,284.77

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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.