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Finding the Fourth Proportional to 6,842.84, 10,264.46 and 1,912.23

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Solution

The fourth proportional to 6,842.84, 10,264.46 and 1,912.23 is: 2,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.84 : 10,264.46 = 1,912.23 : x
  2. Step 2: Convert to fraction form
    6,842.84/10,264.46 = 1,912.23/x
  3. Step 3: Cross multiply
    6,842.84x = 10,264.46 × 1,912.23
  4. Step 4: Simplify right side
    6,842.84x = 19,627,998.78
  5. Step 5: Solve for x
    x = 19,627,998.78/6,842.84
  6. Step 6: Final answer
    x = 2,868.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.