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Finding the Fourth Proportional to 2,647.45, 3,972.04 and 1,906.45

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Solution

The fourth proportional to 2,647.45, 3,972.04 and 1,906.45 is: 2,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.45 : 3,972.04 = 1,906.45 : x
  2. Step 2: Convert to fraction form
    2,647.45/3,972.04 = 1,906.45/x
  3. Step 3: Cross multiply
    2,647.45x = 3,972.04 × 1,906.45
  4. Step 4: Simplify right side
    2,647.45x = 7,572,492.28
  5. Step 5: Solve for x
    x = 7,572,492.28/2,647.45
  6. Step 6: Final answer
    x = 2,860.30

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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.