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Finding the Fourth Proportional to 2,315.56, 3,473.34 and 853.96

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Solution

The fourth proportional to 2,315.56, 3,473.34 and 853.96 is: 1,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.56 : 3,473.34 = 853.96 : x
  2. Step 2: Convert to fraction form
    2,315.56/3,473.34 = 853.96/x
  3. Step 3: Cross multiply
    2,315.56x = 3,473.34 × 853.96
  4. Step 4: Simplify right side
    2,315.56x = 2,966,093.43
  5. Step 5: Solve for x
    x = 2,966,093.43/2,315.56
  6. Step 6: Final answer
    x = 1,280.94

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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.