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Finding the Fourth Proportional to 4,090, 5,644.68 and 2,434

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Solution

The fourth proportional to 4,090, 5,644.68 and 2,434 is: 3,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 5,644.68 = 2,434 : x
  2. Step 2: Convert to fraction form
    4,090/5,644.68 = 2,434/x
  3. Step 3: Cross multiply
    4,090x = 5,644.68 × 2,434
  4. Step 4: Simplify right side
    4,090x = 13,739,151.12
  5. Step 5: Solve for x
    x = 13,739,151.12/4,090
  6. Step 6: Final answer
    x = 3,359.21

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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.