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Finding the Fourth Proportional to 2,090.81, 2,883.51 and 1,760

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Solution

The fourth proportional to 2,090.81, 2,883.51 and 1,760 is: 2,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.81 : 2,883.51 = 1,760 : x
  2. Step 2: Convert to fraction form
    2,090.81/2,883.51 = 1,760/x
  3. Step 3: Cross multiply
    2,090.81x = 2,883.51 × 1,760
  4. Step 4: Simplify right side
    2,090.81x = 5,074,977.60
  5. Step 5: Solve for x
    x = 5,074,977.60/2,090.81
  6. Step 6: Final answer
    x = 2,427.28

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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.