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Finding the Fourth Proportional to 2,564.86, 3,847.29 and 1,980.71

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Solution

The fourth proportional to 2,564.86, 3,847.29 and 1,980.71 is: 2,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.86 : 3,847.29 = 1,980.71 : x
  2. Step 2: Convert to fraction form
    2,564.86/3,847.29 = 1,980.71/x
  3. Step 3: Cross multiply
    2,564.86x = 3,847.29 × 1,980.71
  4. Step 4: Simplify right side
    2,564.86x = 7,620,370.44
  5. Step 5: Solve for x
    x = 7,620,370.44/2,564.86
  6. Step 6: Final answer
    x = 2,971.07

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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.