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Finding the Fourth Proportional to 1,941.87, 2,665.41 and 1,775.80

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Solution

The fourth proportional to 1,941.87, 2,665.41 and 1,775.80 is: 2,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.87 : 2,665.41 = 1,775.80 : x
  2. Step 2: Convert to fraction form
    1,941.87/2,665.41 = 1,775.80/x
  3. Step 3: Cross multiply
    1,941.87x = 2,665.41 × 1,775.80
  4. Step 4: Simplify right side
    1,941.87x = 4,733,224.25
  5. Step 5: Solve for x
    x = 4,733,224.25/1,941.87
  6. Step 6: Final answer
    x = 2,437.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.