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Finding the Fourth Proportional to 7,819.68, 11,729.88 and 4,354.32

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Solution

The fourth proportional to 7,819.68, 11,729.88 and 4,354.32 is: 6,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.68 : 11,729.88 = 4,354.32 : x
  2. Step 2: Convert to fraction form
    7,819.68/11,729.88 = 4,354.32/x
  3. Step 3: Cross multiply
    7,819.68x = 11,729.88 × 4,354.32
  4. Step 4: Simplify right side
    7,819.68x = 51,075,651.08
  5. Step 5: Solve for x
    x = 51,075,651.08/7,819.68
  6. Step 6: Final answer
    x = 6,531.68

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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.