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Finding the Fourth Proportional to 2,636.83, 3,953.70 and 1,077.58

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Solution

The fourth proportional to 2,636.83, 3,953.70 and 1,077.58 is: 1,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.83 : 3,953.70 = 1,077.58 : x
  2. Step 2: Convert to fraction form
    2,636.83/3,953.70 = 1,077.58/x
  3. Step 3: Cross multiply
    2,636.83x = 3,953.70 × 1,077.58
  4. Step 4: Simplify right side
    2,636.83x = 4,260,428.05
  5. Step 5: Solve for x
    x = 4,260,428.05/2,636.83
  6. Step 6: Final answer
    x = 1,615.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.