Home / 1,419.45-2,130.27-726.06

Finding the Fourth Proportional to 1,419.45, 2,130.27 and 726.06

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Solution

The fourth proportional to 1,419.45, 2,130.27 and 726.06 is: 1,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.45 : 2,130.27 = 726.06 : x
  2. Step 2: Convert to fraction form
    1,419.45/2,130.27 = 726.06/x
  3. Step 3: Cross multiply
    1,419.45x = 2,130.27 × 726.06
  4. Step 4: Simplify right side
    1,419.45x = 1,546,700.21
  5. Step 5: Solve for x
    x = 1,546,700.21/1,419.45
  6. Step 6: Final answer
    x = 1,089.65

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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.