Home / 1,302.26-1,796.31-947.75

Finding the Fourth Proportional to 1,302.26, 1,796.31 and 947.75

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Solution

The fourth proportional to 1,302.26, 1,796.31 and 947.75 is: 1,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.26 : 1,796.31 = 947.75 : x
  2. Step 2: Convert to fraction form
    1,302.26/1,796.31 = 947.75/x
  3. Step 3: Cross multiply
    1,302.26x = 1,796.31 × 947.75
  4. Step 4: Simplify right side
    1,302.26x = 1,702,452.80
  5. Step 5: Solve for x
    x = 1,702,452.80/1,302.26
  6. Step 6: Final answer
    x = 1,307.31

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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.