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Finding the Fourth Proportional to 5,215.73, 7,824.87 and 1,705.94

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Solution

The fourth proportional to 5,215.73, 7,824.87 and 1,705.94 is: 2,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.73 : 7,824.87 = 1,705.94 : x
  2. Step 2: Convert to fraction form
    5,215.73/7,824.87 = 1,705.94/x
  3. Step 3: Cross multiply
    5,215.73x = 7,824.87 × 1,705.94
  4. Step 4: Simplify right side
    5,215.73x = 13,348,719.60
  5. Step 5: Solve for x
    x = 13,348,719.60/5,215.73
  6. Step 6: Final answer
    x = 2,559.32

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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.