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Finding the Fourth Proportional to 4,821.42, 6,657 and 3,811.62

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Solution

The fourth proportional to 4,821.42, 6,657 and 3,811.62 is: 5,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.42 : 6,657 = 3,811.62 : x
  2. Step 2: Convert to fraction form
    4,821.42/6,657 = 3,811.62/x
  3. Step 3: Cross multiply
    4,821.42x = 6,657 × 3,811.62
  4. Step 4: Simplify right side
    4,821.42x = 25,373,954.34
  5. Step 5: Solve for x
    x = 25,373,954.34/4,821.42
  6. Step 6: Final answer
    x = 5,262.76

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1.5x scale

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.