Home / 4,090-6,129.58-1,623.46

Finding the Fourth Proportional to 4,090, 6,129.58 and 1,623.46

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Solution

The fourth proportional to 4,090, 6,129.58 and 1,623.46 is: 2,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 6,129.58 = 1,623.46 : x
  2. Step 2: Convert to fraction form
    4,090/6,129.58 = 1,623.46/x
  3. Step 3: Cross multiply
    4,090x = 6,129.58 × 1,623.46
  4. Step 4: Simplify right side
    4,090x = 9,951,127.95
  5. Step 5: Solve for x
    x = 9,951,127.95/4,090
  6. Step 6: Final answer
    x = 2,433.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.