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Finding the Fourth Proportional to 4,669.78, 6,998.60 and 1,893.20

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Solution

The fourth proportional to 4,669.78, 6,998.60 and 1,893.20 is: 2,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.78 : 6,998.60 = 1,893.20 : x
  2. Step 2: Convert to fraction form
    4,669.78/6,998.60 = 1,893.20/x
  3. Step 3: Cross multiply
    4,669.78x = 6,998.60 × 1,893.20
  4. Step 4: Simplify right side
    4,669.78x = 13,249,749.52
  5. Step 5: Solve for x
    x = 13,249,749.52/4,669.78
  6. Step 6: Final answer
    x = 2,837.34

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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.