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Finding the Fourth Proportional to 9,755.84, 14,615.40 and 4,819.72

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Solution

The fourth proportional to 9,755.84, 14,615.40 and 4,819.72 is: 7,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.84 : 14,615.40 = 4,819.72 : x
  2. Step 2: Convert to fraction form
    9,755.84/14,615.40 = 4,819.72/x
  3. Step 3: Cross multiply
    9,755.84x = 14,615.40 × 4,819.72
  4. Step 4: Simplify right side
    9,755.84x = 70,442,135.69
  5. Step 5: Solve for x
    x = 70,442,135.69/9,755.84
  6. Step 6: Final answer
    x = 7,220.51

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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.