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Finding the Fourth Proportional to 4,274, 6,411 and 1,352.40

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Solution

The fourth proportional to 4,274, 6,411 and 1,352.40 is: 2,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274 : 6,411 = 1,352.40 : x
  2. Step 2: Convert to fraction form
    4,274/6,411 = 1,352.40/x
  3. Step 3: Cross multiply
    4,274x = 6,411 × 1,352.40
  4. Step 4: Simplify right side
    4,274x = 8,670,236.40
  5. Step 5: Solve for x
    x = 8,670,236.40/4,274
  6. Step 6: Final answer
    x = 2,028.60

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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.