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Finding the Fourth Proportional to 12,325.50, 18,495.54 and 5,305.32

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Solution

The fourth proportional to 12,325.50, 18,495.54 and 5,305.32 is: 7,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.50 : 18,495.54 = 5,305.32 : x
  2. Step 2: Convert to fraction form
    12,325.50/18,495.54 = 5,305.32/x
  3. Step 3: Cross multiply
    12,325.50x = 18,495.54 × 5,305.32
  4. Step 4: Simplify right side
    12,325.50x = 98,124,758.27
  5. Step 5: Solve for x
    x = 98,124,758.27/12,325.50
  6. Step 6: Final answer
    x = 7,961.12

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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.