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Finding the Fourth Proportional to 1,445.09, 1,993.01 and 941.07

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Solution

The fourth proportional to 1,445.09, 1,993.01 and 941.07 is: 1,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.09 : 1,993.01 = 941.07 : x
  2. Step 2: Convert to fraction form
    1,445.09/1,993.01 = 941.07/x
  3. Step 3: Cross multiply
    1,445.09x = 1,993.01 × 941.07
  4. Step 4: Simplify right side
    1,445.09x = 1,875,557.22
  5. Step 5: Solve for x
    x = 1,875,557.22/1,445.09
  6. Step 6: Final answer
    x = 1,297.89

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1.5x scale

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.