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Finding the Fourth Proportional to 6,539.80, 9,806.34 and 1,922.20

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Solution

The fourth proportional to 6,539.80, 9,806.34 and 1,922.20 is: 2,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.80 : 9,806.34 = 1,922.20 : x
  2. Step 2: Convert to fraction form
    6,539.80/9,806.34 = 1,922.20/x
  3. Step 3: Cross multiply
    6,539.80x = 9,806.34 × 1,922.20
  4. Step 4: Simplify right side
    6,539.80x = 18,849,746.75
  5. Step 5: Solve for x
    x = 18,849,746.75/6,539.80
  6. Step 6: Final answer
    x = 2,882.31

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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.