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Finding the Fourth Proportional to 1,107.85, 1,525.35 and 941.80

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Solution

The fourth proportional to 1,107.85, 1,525.35 and 941.80 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.85 : 1,525.35 = 941.80 : x
  2. Step 2: Convert to fraction form
    1,107.85/1,525.35 = 941.80/x
  3. Step 3: Cross multiply
    1,107.85x = 1,525.35 × 941.80
  4. Step 4: Simplify right side
    1,107.85x = 1,436,574.63
  5. Step 5: Solve for x
    x = 1,436,574.63/1,107.85
  6. Step 6: Final answer
    x = 1,296.72

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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.