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Finding the Fourth Proportional to 4,978, 6,871.80 and 3,116.08

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Solution

The fourth proportional to 4,978, 6,871.80 and 3,116.08 is: 4,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 6,871.80 = 3,116.08 : x
  2. Step 2: Convert to fraction form
    4,978/6,871.80 = 3,116.08/x
  3. Step 3: Cross multiply
    4,978x = 6,871.80 × 3,116.08
  4. Step 4: Simplify right side
    4,978x = 21,413,078.54
  5. Step 5: Solve for x
    x = 21,413,078.54/4,978
  6. Step 6: Final answer
    x = 4,301.54

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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.