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Finding the Fourth Proportional to 3,538.77, 4,883.32 and 1,966.83

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Solution

The fourth proportional to 3,538.77, 4,883.32 and 1,966.83 is: 2,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.77 : 4,883.32 = 1,966.83 : x
  2. Step 2: Convert to fraction form
    3,538.77/4,883.32 = 1,966.83/x
  3. Step 3: Cross multiply
    3,538.77x = 4,883.32 × 1,966.83
  4. Step 4: Simplify right side
    3,538.77x = 9,604,660.28
  5. Step 5: Solve for x
    x = 9,604,660.28/3,538.77
  6. Step 6: Final answer
    x = 2,714.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.