Home / 2,302.12-3,177-1,307.38

Finding the Fourth Proportional to 2,302.12, 3,177 and 1,307.38

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Solution

The fourth proportional to 2,302.12, 3,177 and 1,307.38 is: 1,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.12 : 3,177 = 1,307.38 : x
  2. Step 2: Convert to fraction form
    2,302.12/3,177 = 1,307.38/x
  3. Step 3: Cross multiply
    2,302.12x = 3,177 × 1,307.38
  4. Step 4: Simplify right side
    2,302.12x = 4,153,546.26
  5. Step 5: Solve for x
    x = 4,153,546.26/2,302.12
  6. Step 6: Final answer
    x = 1,804.23

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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.