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Finding the Fourth Proportional to 7,863.78, 11,803.88 and 3,484.32

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Solution

The fourth proportional to 7,863.78, 11,803.88 and 3,484.32 is: 5,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.78 : 11,803.88 = 3,484.32 : x
  2. Step 2: Convert to fraction form
    7,863.78/11,803.88 = 3,484.32/x
  3. Step 3: Cross multiply
    7,863.78x = 11,803.88 × 3,484.32
  4. Step 4: Simplify right side
    7,863.78x = 41,128,440.01
  5. Step 5: Solve for x
    x = 41,128,440.01/7,863.78
  6. Step 6: Final answer
    x = 5,230.11

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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.