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Finding the Fourth Proportional to 6,942, 9,579.84 and 3,798.08

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Solution

The fourth proportional to 6,942, 9,579.84 and 3,798.08 is: 5,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942 : 9,579.84 = 3,798.08 : x
  2. Step 2: Convert to fraction form
    6,942/9,579.84 = 3,798.08/x
  3. Step 3: Cross multiply
    6,942x = 9,579.84 × 3,798.08
  4. Step 4: Simplify right side
    6,942x = 36,384,998.71
  5. Step 5: Solve for x
    x = 36,384,998.71/6,942
  6. Step 6: Final answer
    x = 5,241.28

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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.