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Finding the Fourth Proportional to 7,984.80, 11,978.40 and 2,789.28

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Solution

The fourth proportional to 7,984.80, 11,978.40 and 2,789.28 is: 4,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.80 : 11,978.40 = 2,789.28 : x
  2. Step 2: Convert to fraction form
    7,984.80/11,978.40 = 2,789.28/x
  3. Step 3: Cross multiply
    7,984.80x = 11,978.40 × 2,789.28
  4. Step 4: Simplify right side
    7,984.80x = 33,411,111.55
  5. Step 5: Solve for x
    x = 33,411,111.55/7,984.80
  6. Step 6: Final answer
    x = 4,184.34

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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.