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Finding the Fourth Proportional to 2,582.60, 3,866.74 and 1,955.97

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Solution

The fourth proportional to 2,582.60, 3,866.74 and 1,955.97 is: 2,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.60 : 3,866.74 = 1,955.97 : x
  2. Step 2: Convert to fraction form
    2,582.60/3,866.74 = 1,955.97/x
  3. Step 3: Cross multiply
    2,582.60x = 3,866.74 × 1,955.97
  4. Step 4: Simplify right side
    2,582.60x = 7,563,222.55
  5. Step 5: Solve for x
    x = 7,563,222.55/2,582.60
  6. Step 6: Final answer
    x = 2,928.54

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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.