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Finding the Fourth Proportional to 7,380, 11,072.16 and 2,186.01

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Solution

The fourth proportional to 7,380, 11,072.16 and 2,186.01 is: 3,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380 : 11,072.16 = 2,186.01 : x
  2. Step 2: Convert to fraction form
    7,380/11,072.16 = 2,186.01/x
  3. Step 3: Cross multiply
    7,380x = 11,072.16 × 2,186.01
  4. Step 4: Simplify right side
    7,380x = 24,203,852.48
  5. Step 5: Solve for x
    x = 24,203,852.48/7,380
  6. Step 6: Final answer
    x = 3,279.65

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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.