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Finding the Fourth Proportional to 7,980, 11,970.48 and 2,508

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Solution

The fourth proportional to 7,980, 11,970.48 and 2,508 is: 3,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980 : 11,970.48 = 2,508 : x
  2. Step 2: Convert to fraction form
    7,980/11,970.48 = 2,508/x
  3. Step 3: Cross multiply
    7,980x = 11,970.48 × 2,508
  4. Step 4: Simplify right side
    7,980x = 30,021,963.84
  5. Step 5: Solve for x
    x = 30,021,963.84/7,980
  6. Step 6: Final answer
    x = 3,762.15

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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.