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Finding the Fourth Proportional to 2,893.77, 4,338.63 and 1,431.99

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Solution

The fourth proportional to 2,893.77, 4,338.63 and 1,431.99 is: 2,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.77 : 4,338.63 = 1,431.99 : x
  2. Step 2: Convert to fraction form
    2,893.77/4,338.63 = 1,431.99/x
  3. Step 3: Cross multiply
    2,893.77x = 4,338.63 × 1,431.99
  4. Step 4: Simplify right side
    2,893.77x = 6,212,874.77
  5. Step 5: Solve for x
    x = 6,212,874.77/2,893.77
  6. Step 6: Final answer
    x = 2,146.98

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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.