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Finding the Fourth Proportional to 4,609, 6,359.70 and 2,619.64

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Solution

The fourth proportional to 4,609, 6,359.70 and 2,619.64 is: 3,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609 : 6,359.70 = 2,619.64 : x
  2. Step 2: Convert to fraction form
    4,609/6,359.70 = 2,619.64/x
  3. Step 3: Cross multiply
    4,609x = 6,359.70 × 2,619.64
  4. Step 4: Simplify right side
    4,609x = 16,660,124.51
  5. Step 5: Solve for x
    x = 16,660,124.51/4,609
  6. Step 6: Final answer
    x = 3,614.69

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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.