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Finding the Fourth Proportional to 11,420.95, 15,759.11 and 7,380.37

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Solution

The fourth proportional to 11,420.95, 15,759.11 and 7,380.37 is: 10,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.95 : 15,759.11 = 7,380.37 : x
  2. Step 2: Convert to fraction form
    11,420.95/15,759.11 = 7,380.37/x
  3. Step 3: Cross multiply
    11,420.95x = 15,759.11 × 7,380.37
  4. Step 4: Simplify right side
    11,420.95x = 116,307,970.66
  5. Step 5: Solve for x
    x = 116,307,970.66/11,420.95
  6. Step 6: Final answer
    x = 10,183.74

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1.5x scale

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.