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Finding the Fourth Proportional to 2,090.08, 3,133.92 and 790.72

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Solution

The fourth proportional to 2,090.08, 3,133.92 and 790.72 is: 1,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.08 : 3,133.92 = 790.72 : x
  2. Step 2: Convert to fraction form
    2,090.08/3,133.92 = 790.72/x
  3. Step 3: Cross multiply
    2,090.08x = 3,133.92 × 790.72
  4. Step 4: Simplify right side
    2,090.08x = 2,478,053.22
  5. Step 5: Solve for x
    x = 2,478,053.22/2,090.08
  6. Step 6: Final answer
    x = 1,185.63

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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.