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Finding the Fourth Proportional to 2,087.03, 3,128.74 and 853.66

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Solution

The fourth proportional to 2,087.03, 3,128.74 and 853.66 is: 1,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.03 : 3,128.74 = 853.66 : x
  2. Step 2: Convert to fraction form
    2,087.03/3,128.74 = 853.66/x
  3. Step 3: Cross multiply
    2,087.03x = 3,128.74 × 853.66
  4. Step 4: Simplify right side
    2,087.03x = 2,670,869.17
  5. Step 5: Solve for x
    x = 2,670,869.17/2,087.03
  6. Step 6: Final answer
    x = 1,279.74

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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.