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Finding the Fourth Proportional to 3,880.32, 5,820.08 and 1,106.82

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Solution

The fourth proportional to 3,880.32, 5,820.08 and 1,106.82 is: 1,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.32 : 5,820.08 = 1,106.82 : x
  2. Step 2: Convert to fraction form
    3,880.32/5,820.08 = 1,106.82/x
  3. Step 3: Cross multiply
    3,880.32x = 5,820.08 × 1,106.82
  4. Step 4: Simplify right side
    3,880.32x = 6,441,775.41
  5. Step 5: Solve for x
    x = 6,441,775.41/3,880.32
  6. Step 6: Final answer
    x = 1,660.11

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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.