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Finding the Fourth Proportional to 4,663.78, 6,435.25 and 2,897.78

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Solution

The fourth proportional to 4,663.78, 6,435.25 and 2,897.78 is: 3,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.78 : 6,435.25 = 2,897.78 : x
  2. Step 2: Convert to fraction form
    4,663.78/6,435.25 = 2,897.78/x
  3. Step 3: Cross multiply
    4,663.78x = 6,435.25 × 2,897.78
  4. Step 4: Simplify right side
    4,663.78x = 18,647,899.32
  5. Step 5: Solve for x
    x = 18,647,899.32/4,663.78
  6. Step 6: Final answer
    x = 3,998.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.