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Finding the Fourth Proportional to 4,656.93, 6,978.09 and 3,960.74

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Solution

The fourth proportional to 4,656.93, 6,978.09 and 3,960.74 is: 5,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.93 : 6,978.09 = 3,960.74 : x
  2. Step 2: Convert to fraction form
    4,656.93/6,978.09 = 3,960.74/x
  3. Step 3: Cross multiply
    4,656.93x = 6,978.09 × 3,960.74
  4. Step 4: Simplify right side
    4,656.93x = 27,638,365.30
  5. Step 5: Solve for x
    x = 27,638,365.30/4,656.93
  6. Step 6: Final answer
    x = 5,934.89

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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.