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Finding the Fourth Proportional to 3,539.78, 4,884.57 and 1,967.78

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Solution

The fourth proportional to 3,539.78, 4,884.57 and 1,967.78 is: 2,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.78 : 4,884.57 = 1,967.78 : x
  2. Step 2: Convert to fraction form
    3,539.78/4,884.57 = 1,967.78/x
  3. Step 3: Cross multiply
    3,539.78x = 4,884.57 × 1,967.78
  4. Step 4: Simplify right side
    3,539.78x = 9,611,759.15
  5. Step 5: Solve for x
    x = 9,611,759.15/3,539.78
  6. Step 6: Final answer
    x = 2,715.35

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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.