Home / 1,411.85-2,119.14-1,022.30

Finding the Fourth Proportional to 1,411.85, 2,119.14 and 1,022.30

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Solution

The fourth proportional to 1,411.85, 2,119.14 and 1,022.30 is: 1,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.85 : 2,119.14 = 1,022.30 : x
  2. Step 2: Convert to fraction form
    1,411.85/2,119.14 = 1,022.30/x
  3. Step 3: Cross multiply
    1,411.85x = 2,119.14 × 1,022.30
  4. Step 4: Simplify right side
    1,411.85x = 2,166,386.23
  5. Step 5: Solve for x
    x = 2,166,386.23/1,411.85
  6. Step 6: Final answer
    x = 1,534.44

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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.