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Finding the Fourth Proportional to 5,854.56, 8,079 and 4,289.28

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Solution

The fourth proportional to 5,854.56, 8,079 and 4,289.28 is: 5,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.56 : 8,079 = 4,289.28 : x
  2. Step 2: Convert to fraction form
    5,854.56/8,079 = 4,289.28/x
  3. Step 3: Cross multiply
    5,854.56x = 8,079 × 4,289.28
  4. Step 4: Simplify right side
    5,854.56x = 34,653,093.12
  5. Step 5: Solve for x
    x = 34,653,093.12/5,854.56
  6. Step 6: Final answer
    x = 5,918.99

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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.