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Finding the Fourth Proportional to 3,090.55, 4,264.64 and 1,764

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Solution

The fourth proportional to 3,090.55, 4,264.64 and 1,764 is: 2,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.55 : 4,264.64 = 1,764 : x
  2. Step 2: Convert to fraction form
    3,090.55/4,264.64 = 1,764/x
  3. Step 3: Cross multiply
    3,090.55x = 4,264.64 × 1,764
  4. Step 4: Simplify right side
    3,090.55x = 7,522,824.96
  5. Step 5: Solve for x
    x = 7,522,824.96/3,090.55
  6. Step 6: Final answer
    x = 2,434.14

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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.