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Finding the Fourth Proportional to 1,995.83, 2,754.71 and 1,157.00

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Solution

The fourth proportional to 1,995.83, 2,754.71 and 1,157.00 is: 1,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.83 : 2,754.71 = 1,157.00 : x
  2. Step 2: Convert to fraction form
    1,995.83/2,754.71 = 1,157.00/x
  3. Step 3: Cross multiply
    1,995.83x = 2,754.71 × 1,157.00
  4. Step 4: Simplify right side
    1,995.83x = 3,187,199.75
  5. Step 5: Solve for x
    x = 3,187,199.75/1,995.83
  6. Step 6: Final answer
    x = 1,596.93

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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.