Home / 1,420.34-2,130.32-380.41

Finding the Fourth Proportional to 1,420.34, 2,130.32 and 380.41

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Solution

The fourth proportional to 1,420.34, 2,130.32 and 380.41 is: 570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.34 : 2,130.32 = 380.41 : x
  2. Step 2: Convert to fraction form
    1,420.34/2,130.32 = 380.41/x
  3. Step 3: Cross multiply
    1,420.34x = 2,130.32 × 380.41
  4. Step 4: Simplify right side
    1,420.34x = 810,390.66
  5. Step 5: Solve for x
    x = 810,390.66/1,420.34
  6. Step 6: Final answer
    x = 570.56

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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.