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Finding the Fourth Proportional to 2,089.70, 3,129.93 and 853.36

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Solution

The fourth proportional to 2,089.70, 3,129.93 and 853.36 is: 1,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.70 : 3,129.93 = 853.36 : x
  2. Step 2: Convert to fraction form
    2,089.70/3,129.93 = 853.36/x
  3. Step 3: Cross multiply
    2,089.70x = 3,129.93 × 853.36
  4. Step 4: Simplify right side
    2,089.70x = 2,670,958.84
  5. Step 5: Solve for x
    x = 2,670,958.84/2,089.70
  6. Step 6: Final answer
    x = 1,278.15

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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.