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Finding the Fourth Proportional to 7,104.78, 9,804.18 and 3,918.51

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Solution

The fourth proportional to 7,104.78, 9,804.18 and 3,918.51 is: 5,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.78 : 9,804.18 = 3,918.51 : x
  2. Step 2: Convert to fraction form
    7,104.78/9,804.18 = 3,918.51/x
  3. Step 3: Cross multiply
    7,104.78x = 9,804.18 × 3,918.51
  4. Step 4: Simplify right side
    7,104.78x = 38,417,777.37
  5. Step 5: Solve for x
    x = 38,417,777.37/7,104.78
  6. Step 6: Final answer
    x = 5,407.31

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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.