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Finding the Fourth Proportional to 4,656.69, 6,978.96 and 2,460.78

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Solution

The fourth proportional to 4,656.69, 6,978.96 and 2,460.78 is: 3,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.69 : 6,978.96 = 2,460.78 : x
  2. Step 2: Convert to fraction form
    4,656.69/6,978.96 = 2,460.78/x
  3. Step 3: Cross multiply
    4,656.69x = 6,978.96 × 2,460.78
  4. Step 4: Simplify right side
    4,656.69x = 17,173,685.19
  5. Step 5: Solve for x
    x = 17,173,685.19/4,656.69
  6. Step 6: Final answer
    x = 3,687.96

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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.