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Finding the Fourth Proportional to 2,811.51, 4,216.51 and 1,056.44

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Solution

The fourth proportional to 2,811.51, 4,216.51 and 1,056.44 is: 1,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.51 : 4,216.51 = 1,056.44 : x
  2. Step 2: Convert to fraction form
    2,811.51/4,216.51 = 1,056.44/x
  3. Step 3: Cross multiply
    2,811.51x = 4,216.51 × 1,056.44
  4. Step 4: Simplify right side
    2,811.51x = 4,454,495.74
  5. Step 5: Solve for x
    x = 4,454,495.74/2,811.51
  6. Step 6: Final answer
    x = 1,584.38

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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.