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Finding the Fourth Proportional to 3,090.63, 4,265.17 and 1,693.47

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Solution

The fourth proportional to 3,090.63, 4,265.17 and 1,693.47 is: 2,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.63 : 4,265.17 = 1,693.47 : x
  2. Step 2: Convert to fraction form
    3,090.63/4,265.17 = 1,693.47/x
  3. Step 3: Cross multiply
    3,090.63x = 4,265.17 × 1,693.47
  4. Step 4: Simplify right side
    3,090.63x = 7,222,916.11
  5. Step 5: Solve for x
    x = 7,222,916.11/3,090.63
  6. Step 6: Final answer
    x = 2,337.04

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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.