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Finding the Fourth Proportional to 12,586.62, 18,880.02 and 3,821.64

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Solution

The fourth proportional to 12,586.62, 18,880.02 and 3,821.64 is: 5,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.62 : 18,880.02 = 3,821.64 : x
  2. Step 2: Convert to fraction form
    12,586.62/18,880.02 = 3,821.64/x
  3. Step 3: Cross multiply
    12,586.62x = 18,880.02 × 3,821.64
  4. Step 4: Simplify right side
    12,586.62x = 72,152,639.63
  5. Step 5: Solve for x
    x = 72,152,639.63/12,586.62
  6. Step 6: Final answer
    x = 5,732.49

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1.5x scale

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.