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Finding the Fourth Proportional to 11,920.88, 16,438.76 and 7,202.48

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Solution

The fourth proportional to 11,920.88, 16,438.76 and 7,202.48 is: 9,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.88 : 16,438.76 = 7,202.48 : x
  2. Step 2: Convert to fraction form
    11,920.88/16,438.76 = 7,202.48/x
  3. Step 3: Cross multiply
    11,920.88x = 16,438.76 × 7,202.48
  4. Step 4: Simplify right side
    11,920.88x = 118,399,840.12
  5. Step 5: Solve for x
    x = 118,399,840.12/11,920.88
  6. Step 6: Final answer
    x = 9,932.14

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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.