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Finding the Fourth Proportional to 3,090.64, 4,265 and 1,693.52

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Solution

The fourth proportional to 3,090.64, 4,265 and 1,693.52 is: 2,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.64 : 4,265 = 1,693.52 : x
  2. Step 2: Convert to fraction form
    3,090.64/4,265 = 1,693.52/x
  3. Step 3: Cross multiply
    3,090.64x = 4,265 × 1,693.52
  4. Step 4: Simplify right side
    3,090.64x = 7,222,862.80
  5. Step 5: Solve for x
    x = 7,222,862.80/3,090.64
  6. Step 6: Final answer
    x = 2,337.01

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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.