Home / 1,420.74-2,130.94-380.83

Finding the Fourth Proportional to 1,420.74, 2,130.94 and 380.83

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Solution

The fourth proportional to 1,420.74, 2,130.94 and 380.83 is: 571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.74 : 2,130.94 = 380.83 : x
  2. Step 2: Convert to fraction form
    1,420.74/2,130.94 = 380.83/x
  3. Step 3: Cross multiply
    1,420.74x = 2,130.94 × 380.83
  4. Step 4: Simplify right side
    1,420.74x = 811,515.23
  5. Step 5: Solve for x
    x = 811,515.23/1,420.74
  6. Step 6: Final answer
    x = 571.19

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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.