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Finding the Fourth Proportional to 2,657.09, 3,983.04 and 990.00

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Solution

The fourth proportional to 2,657.09, 3,983.04 and 990.00 is: 1,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.09 : 3,983.04 = 990.00 : x
  2. Step 2: Convert to fraction form
    2,657.09/3,983.04 = 990.00/x
  3. Step 3: Cross multiply
    2,657.09x = 3,983.04 × 990.00
  4. Step 4: Simplify right side
    2,657.09x = 3,943,194.22
  5. Step 5: Solve for x
    x = 3,943,194.22/2,657.09
  6. Step 6: Final answer
    x = 1,484.03

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Why These Related Problems?

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