Home / 1,419.80-1,958.58-1,026.14

Finding the Fourth Proportional to 1,419.80, 1,958.58 and 1,026.14

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Solution

The fourth proportional to 1,419.80, 1,958.58 and 1,026.14 is: 1,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.80 : 1,958.58 = 1,026.14 : x
  2. Step 2: Convert to fraction form
    1,419.80/1,958.58 = 1,026.14/x
  3. Step 3: Cross multiply
    1,419.80x = 1,958.58 × 1,026.14
  4. Step 4: Simplify right side
    1,419.80x = 2,009,777.28
  5. Step 5: Solve for x
    x = 2,009,777.28/1,419.80
  6. Step 6: Final answer
    x = 1,415.54

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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.