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Finding the Fourth Proportional to 2,564.81, 3,847.26 and 1,511.00

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Solution

The fourth proportional to 2,564.81, 3,847.26 and 1,511.00 is: 2,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.81 : 3,847.26 = 1,511.00 : x
  2. Step 2: Convert to fraction form
    2,564.81/3,847.26 = 1,511.00/x
  3. Step 3: Cross multiply
    2,564.81x = 3,847.26 × 1,511.00
  4. Step 4: Simplify right side
    2,564.81x = 5,813,210.72
  5. Step 5: Solve for x
    x = 5,813,210.72/2,564.81
  6. Step 6: Final answer
    x = 2,266.53

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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.