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Finding the Fourth Proportional to 7,948, 11,919.12 and 3,563.20

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Solution

The fourth proportional to 7,948, 11,919.12 and 3,563.20 is: 5,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948 : 11,919.12 = 3,563.20 : x
  2. Step 2: Convert to fraction form
    7,948/11,919.12 = 3,563.20/x
  3. Step 3: Cross multiply
    7,948x = 11,919.12 × 3,563.20
  4. Step 4: Simplify right side
    7,948x = 42,470,208.38
  5. Step 5: Solve for x
    x = 42,470,208.38/7,948
  6. Step 6: Final answer
    x = 5,343.51

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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.