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Finding the Fourth Proportional to 1,764.36, 2,646.54 and 1,419.66

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Solution

The fourth proportional to 1,764.36, 2,646.54 and 1,419.66 is: 2,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.36 : 2,646.54 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    1,764.36/2,646.54 = 1,419.66/x
  3. Step 3: Cross multiply
    1,764.36x = 2,646.54 × 1,419.66
  4. Step 4: Simplify right side
    1,764.36x = 3,757,186.98
  5. Step 5: Solve for x
    x = 3,757,186.98/1,764.36
  6. Step 6: Final answer
    x = 2,129.49

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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.