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Finding the Fourth Proportional to 1,781.70, 2,673 and 1,438.16

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Solution

The fourth proportional to 1,781.70, 2,673 and 1,438.16 is: 2,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,673 = 1,438.16 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,673 = 1,438.16/x
  3. Step 3: Cross multiply
    1,781.70x = 2,673 × 1,438.16
  4. Step 4: Simplify right side
    1,781.70x = 3,844,188.32
  5. Step 5: Solve for x
    x = 3,844,188.32/1,781.70
  6. Step 6: Final answer
    x = 2,157.60

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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.