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Finding the Fourth Proportional to 4,236, 6,354 and 1,639.20

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Solution

The fourth proportional to 4,236, 6,354 and 1,639.20 is: 2,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236 : 6,354 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    4,236/6,354 = 1,639.20/x
  3. Step 3: Cross multiply
    4,236x = 6,354 × 1,639.20
  4. Step 4: Simplify right side
    4,236x = 10,415,476.80
  5. Step 5: Solve for x
    x = 10,415,476.80/4,236
  6. Step 6: Final answer
    x = 2,458.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.