Home / 1,419.14-2,127.50-689.23

Finding the Fourth Proportional to 1,419.14, 2,127.50 and 689.23

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Solution

The fourth proportional to 1,419.14, 2,127.50 and 689.23 is: 1,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.14 : 2,127.50 = 689.23 : x
  2. Step 2: Convert to fraction form
    1,419.14/2,127.50 = 689.23/x
  3. Step 3: Cross multiply
    1,419.14x = 2,127.50 × 689.23
  4. Step 4: Simplify right side
    1,419.14x = 1,466,336.83
  5. Step 5: Solve for x
    x = 1,466,336.83/1,419.14
  6. Step 6: Final answer
    x = 1,033.26

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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.