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Finding the Fourth Proportional to 11,259.87, 16,867.93 and 5,420.58

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Solution

The fourth proportional to 11,259.87, 16,867.93 and 5,420.58 is: 8,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.87 : 16,867.93 = 5,420.58 : x
  2. Step 2: Convert to fraction form
    11,259.87/16,867.93 = 5,420.58/x
  3. Step 3: Cross multiply
    11,259.87x = 16,867.93 × 5,420.58
  4. Step 4: Simplify right side
    11,259.87x = 91,433,964.00
  5. Step 5: Solve for x
    x = 91,433,964.00/11,259.87
  6. Step 6: Final answer
    x = 8,120.34

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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.