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Finding the Fourth Proportional to 2,868.26, 4,302.41 and 788.18

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Solution

The fourth proportional to 2,868.26, 4,302.41 and 788.18 is: 1,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.26 : 4,302.41 = 788.18 : x
  2. Step 2: Convert to fraction form
    2,868.26/4,302.41 = 788.18/x
  3. Step 3: Cross multiply
    2,868.26x = 4,302.41 × 788.18
  4. Step 4: Simplify right side
    2,868.26x = 3,391,048.06
  5. Step 5: Solve for x
    x = 3,391,048.06/2,868.26
  6. Step 6: Final answer
    x = 1,182.27

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1.5x scale

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.