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Finding the Fourth Proportional to 9,292.88, 12,819.84 and 5,754.80

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Solution

The fourth proportional to 9,292.88, 12,819.84 and 5,754.80 is: 7,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.88 : 12,819.84 = 5,754.80 : x
  2. Step 2: Convert to fraction form
    9,292.88/12,819.84 = 5,754.80/x
  3. Step 3: Cross multiply
    9,292.88x = 12,819.84 × 5,754.80
  4. Step 4: Simplify right side
    9,292.88x = 73,775,615.23
  5. Step 5: Solve for x
    x = 73,775,615.23/9,292.88
  6. Step 6: Final answer
    x = 7,938.94

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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.