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Finding the Fourth Proportional to 6,978.65, 9,629.06 and 4,145.63

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Solution

The fourth proportional to 6,978.65, 9,629.06 and 4,145.63 is: 5,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.65 : 9,629.06 = 4,145.63 : x
  2. Step 2: Convert to fraction form
    6,978.65/9,629.06 = 4,145.63/x
  3. Step 3: Cross multiply
    6,978.65x = 9,629.06 × 4,145.63
  4. Step 4: Simplify right side
    6,978.65x = 39,918,451.13
  5. Step 5: Solve for x
    x = 39,918,451.13/6,978.65
  6. Step 6: Final answer
    x = 5,720.09

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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.