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Finding the Fourth Proportional to 1,428.98, 2,146.10 and 855.38

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Solution

The fourth proportional to 1,428.98, 2,146.10 and 855.38 is: 1,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.98 : 2,146.10 = 855.38 : x
  2. Step 2: Convert to fraction form
    1,428.98/2,146.10 = 855.38/x
  3. Step 3: Cross multiply
    1,428.98x = 2,146.10 × 855.38
  4. Step 4: Simplify right side
    1,428.98x = 1,835,722.43
  5. Step 5: Solve for x
    x = 1,835,722.43/1,428.98
  6. Step 6: Final answer
    x = 1,284.64

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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.