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Finding the Fourth Proportional to 4,638, 6,403.80 and 2,984.88

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Solution

The fourth proportional to 4,638, 6,403.80 and 2,984.88 is: 4,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 6,403.80 = 2,984.88 : x
  2. Step 2: Convert to fraction form
    4,638/6,403.80 = 2,984.88/x
  3. Step 3: Cross multiply
    4,638x = 6,403.80 × 2,984.88
  4. Step 4: Simplify right side
    4,638x = 19,114,574.54
  5. Step 5: Solve for x
    x = 19,114,574.54/4,638
  6. Step 6: Final answer
    x = 4,121.30

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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.