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Finding the Fourth Proportional to 3,538.64, 4,883.10 and 1,966.64

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Solution

The fourth proportional to 3,538.64, 4,883.10 and 1,966.64 is: 2,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.64 : 4,883.10 = 1,966.64 : x
  2. Step 2: Convert to fraction form
    3,538.64/4,883.10 = 1,966.64/x
  3. Step 3: Cross multiply
    3,538.64x = 4,883.10 × 1,966.64
  4. Step 4: Simplify right side
    3,538.64x = 9,603,299.78
  5. Step 5: Solve for x
    x = 9,603,299.78/3,538.64
  6. Step 6: Final answer
    x = 2,713.84

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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.