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Finding the Fourth Proportional to 6,813.90, 9,412.74 and 5,261.94

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Solution

The fourth proportional to 6,813.90, 9,412.74 and 5,261.94 is: 7,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.90 : 9,412.74 = 5,261.94 : x
  2. Step 2: Convert to fraction form
    6,813.90/9,412.74 = 5,261.94/x
  3. Step 3: Cross multiply
    6,813.90x = 9,412.74 × 5,261.94
  4. Step 4: Simplify right side
    6,813.90x = 49,529,273.12
  5. Step 5: Solve for x
    x = 49,529,273.12/6,813.90
  6. Step 6: Final answer
    x = 7,268.86

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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.