Home / 1,428.69-2,142.14-551.19

Finding the Fourth Proportional to 1,428.69, 2,142.14 and 551.19

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Solution

The fourth proportional to 1,428.69, 2,142.14 and 551.19 is: 826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.69 : 2,142.14 = 551.19 : x
  2. Step 2: Convert to fraction form
    1,428.69/2,142.14 = 551.19/x
  3. Step 3: Cross multiply
    1,428.69x = 2,142.14 × 551.19
  4. Step 4: Simplify right side
    1,428.69x = 1,180,723.39
  5. Step 5: Solve for x
    x = 1,180,723.39/1,428.69
  6. Step 6: Final answer
    x = 826.44

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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.