Home / 1,424.21-2,136.20-384.17

Finding the Fourth Proportional to 1,424.21, 2,136.20 and 384.17

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Solution

The fourth proportional to 1,424.21, 2,136.20 and 384.17 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.21 : 2,136.20 = 384.17 : x
  2. Step 2: Convert to fraction form
    1,424.21/2,136.20 = 384.17/x
  3. Step 3: Cross multiply
    1,424.21x = 2,136.20 × 384.17
  4. Step 4: Simplify right side
    1,424.21x = 820,651.35
  5. Step 5: Solve for x
    x = 820,651.35/1,424.21
  6. Step 6: Final answer
    x = 576.22

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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.