Home / 1,428.40-2,142.02-844.56

Finding the Fourth Proportional to 1,428.40, 2,142.02 and 844.56

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Solution

The fourth proportional to 1,428.40, 2,142.02 and 844.56 is: 1,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.40 : 2,142.02 = 844.56 : x
  2. Step 2: Convert to fraction form
    1,428.40/2,142.02 = 844.56/x
  3. Step 3: Cross multiply
    1,428.40x = 2,142.02 × 844.56
  4. Step 4: Simplify right side
    1,428.40x = 1,809,064.41
  5. Step 5: Solve for x
    x = 1,809,064.41/1,428.40
  6. Step 6: Final answer
    x = 1,266.50

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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.