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Finding the Fourth Proportional to 2,935.23, 4,403.51 and 987.38

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Solution

The fourth proportional to 2,935.23, 4,403.51 and 987.38 is: 1,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.23 : 4,403.51 = 987.38 : x
  2. Step 2: Convert to fraction form
    2,935.23/4,403.51 = 987.38/x
  3. Step 3: Cross multiply
    2,935.23x = 4,403.51 × 987.38
  4. Step 4: Simplify right side
    2,935.23x = 4,347,910.75
  5. Step 5: Solve for x
    x = 4,347,910.75/2,935.23
  6. Step 6: Final answer
    x = 1,481.28

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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.