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Finding the Fourth Proportional to 4,643.55, 6,405.84 and 3,384

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Solution

The fourth proportional to 4,643.55, 6,405.84 and 3,384 is: 4,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.55 : 6,405.84 = 3,384 : x
  2. Step 2: Convert to fraction form
    4,643.55/6,405.84 = 3,384/x
  3. Step 3: Cross multiply
    4,643.55x = 6,405.84 × 3,384
  4. Step 4: Simplify right side
    4,643.55x = 21,677,362.56
  5. Step 5: Solve for x
    x = 21,677,362.56/4,643.55
  6. Step 6: Final answer
    x = 4,668.27

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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.