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Finding the Fourth Proportional to 1,445.56, 1,993.87 and 921.35

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Solution

The fourth proportional to 1,445.56, 1,993.87 and 921.35 is: 1,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.56 : 1,993.87 = 921.35 : x
  2. Step 2: Convert to fraction form
    1,445.56/1,993.87 = 921.35/x
  3. Step 3: Cross multiply
    1,445.56x = 1,993.87 × 921.35
  4. Step 4: Simplify right side
    1,445.56x = 1,837,052.12
  5. Step 5: Solve for x
    x = 1,837,052.12/1,445.56
  6. Step 6: Final answer
    x = 1,270.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.