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Finding the Fourth Proportional to 11,450.88, 15,802 and 6,415.05

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Solution

The fourth proportional to 11,450.88, 15,802 and 6,415.05 is: 8,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.88 : 15,802 = 6,415.05 : x
  2. Step 2: Convert to fraction form
    11,450.88/15,802 = 6,415.05/x
  3. Step 3: Cross multiply
    11,450.88x = 15,802 × 6,415.05
  4. Step 4: Simplify right side
    11,450.88x = 101,370,620.10
  5. Step 5: Solve for x
    x = 101,370,620.10/11,450.88
  6. Step 6: Final answer
    x = 8,852.65

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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.