Home / 3,002.09-4,143.13-1,657.82

Finding the Fourth Proportional to 3,002.09, 4,143.13 and 1,657.82

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Solution

The fourth proportional to 3,002.09, 4,143.13 and 1,657.82 is: 2,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.09 : 4,143.13 = 1,657.82 : x
  2. Step 2: Convert to fraction form
    3,002.09/4,143.13 = 1,657.82/x
  3. Step 3: Cross multiply
    3,002.09x = 4,143.13 × 1,657.82
  4. Step 4: Simplify right side
    3,002.09x = 6,868,569.99
  5. Step 5: Solve for x
    x = 6,868,569.99/3,002.09
  6. Step 6: Final answer
    x = 2,287.93

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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.