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Finding the Fourth Proportional to 4,653.73, 6,423.64 and 2,979.64

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Solution

The fourth proportional to 4,653.73, 6,423.64 and 2,979.64 is: 4,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.73 : 6,423.64 = 2,979.64 : x
  2. Step 2: Convert to fraction form
    4,653.73/6,423.64 = 2,979.64/x
  3. Step 3: Cross multiply
    4,653.73x = 6,423.64 × 2,979.64
  4. Step 4: Simplify right side
    4,653.73x = 19,140,165.91
  5. Step 5: Solve for x
    x = 19,140,165.91/4,653.73
  6. Step 6: Final answer
    x = 4,112.87

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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.