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Finding the Fourth Proportional to 2,053.82, 3,080.43 and 958.10

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Solution

The fourth proportional to 2,053.82, 3,080.43 and 958.10 is: 1,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.82 : 3,080.43 = 958.10 : x
  2. Step 2: Convert to fraction form
    2,053.82/3,080.43 = 958.10/x
  3. Step 3: Cross multiply
    2,053.82x = 3,080.43 × 958.10
  4. Step 4: Simplify right side
    2,053.82x = 2,951,344.58
  5. Step 5: Solve for x
    x = 2,951,344.58/2,053.82
  6. Step 6: Final answer
    x = 1,437.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.