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Finding the Fourth Proportional to 6,902.64, 9,525.87 and 3,878.29

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Solution

The fourth proportional to 6,902.64, 9,525.87 and 3,878.29 is: 5,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.64 : 9,525.87 = 3,878.29 : x
  2. Step 2: Convert to fraction form
    6,902.64/9,525.87 = 3,878.29/x
  3. Step 3: Cross multiply
    6,902.64x = 9,525.87 × 3,878.29
  4. Step 4: Simplify right side
    6,902.64x = 36,944,086.36
  5. Step 5: Solve for x
    x = 36,944,086.36/6,902.64
  6. Step 6: Final answer
    x = 5,352.17

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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.