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Finding the Fourth Proportional to 2,836, 4,254.72 and 1,081.72

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Solution

The fourth proportional to 2,836, 4,254.72 and 1,081.72 is: 1,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 4,254.72 = 1,081.72 : x
  2. Step 2: Convert to fraction form
    2,836/4,254.72 = 1,081.72/x
  3. Step 3: Cross multiply
    2,836x = 4,254.72 × 1,081.72
  4. Step 4: Simplify right side
    2,836x = 4,602,415.72
  5. Step 5: Solve for x
    x = 4,602,415.72/2,836
  6. Step 6: Final answer
    x = 1,622.85

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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.