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Finding the Fourth Proportional to 2,090.54, 3,135.85 and 1,114.63

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Solution

The fourth proportional to 2,090.54, 3,135.85 and 1,114.63 is: 1,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.54 : 3,135.85 = 1,114.63 : x
  2. Step 2: Convert to fraction form
    2,090.54/3,135.85 = 1,114.63/x
  3. Step 3: Cross multiply
    2,090.54x = 3,135.85 × 1,114.63
  4. Step 4: Simplify right side
    2,090.54x = 3,495,301.86
  5. Step 5: Solve for x
    x = 3,495,301.86/2,090.54
  6. Step 6: Final answer
    x = 1,671.96

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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.