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Finding the Fourth Proportional to 6,522.87, 9,782.25 and 2,139.30

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Solution

The fourth proportional to 6,522.87, 9,782.25 and 2,139.30 is: 3,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.87 : 9,782.25 = 2,139.30 : x
  2. Step 2: Convert to fraction form
    6,522.87/9,782.25 = 2,139.30/x
  3. Step 3: Cross multiply
    6,522.87x = 9,782.25 × 2,139.30
  4. Step 4: Simplify right side
    6,522.87x = 20,927,156.73
  5. Step 5: Solve for x
    x = 20,927,156.73/6,522.87
  6. Step 6: Final answer
    x = 3,208.28

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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.