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Finding the Fourth Proportional to 6,779.30, 10,149.78 and 4,308

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Solution

The fourth proportional to 6,779.30, 10,149.78 and 4,308 is: 6,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.30 : 10,149.78 = 4,308 : x
  2. Step 2: Convert to fraction form
    6,779.30/10,149.78 = 4,308/x
  3. Step 3: Cross multiply
    6,779.30x = 10,149.78 × 4,308
  4. Step 4: Simplify right side
    6,779.30x = 43,725,252.24
  5. Step 5: Solve for x
    x = 43,725,252.24/6,779.30
  6. Step 6: Final answer
    x = 6,449.82

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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.