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Finding the Fourth Proportional to 4,643, 6,405.92 and 2,653.44

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Solution

The fourth proportional to 4,643, 6,405.92 and 2,653.44 is: 3,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643 : 6,405.92 = 2,653.44 : x
  2. Step 2: Convert to fraction form
    4,643/6,405.92 = 2,653.44/x
  3. Step 3: Cross multiply
    4,643x = 6,405.92 × 2,653.44
  4. Step 4: Simplify right side
    4,643x = 16,997,724.36
  5. Step 5: Solve for x
    x = 16,997,724.36/4,643
  6. Step 6: Final answer
    x = 3,660.94

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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.