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Finding the Fourth Proportional to 7,765.16, 11,648.12 and 2,219.32

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Solution

The fourth proportional to 7,765.16, 11,648.12 and 2,219.32 is: 3,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.16 : 11,648.12 = 2,219.32 : x
  2. Step 2: Convert to fraction form
    7,765.16/11,648.12 = 2,219.32/x
  3. Step 3: Cross multiply
    7,765.16x = 11,648.12 × 2,219.32
  4. Step 4: Simplify right side
    7,765.16x = 25,850,954.39
  5. Step 5: Solve for x
    x = 25,850,954.39/7,765.16
  6. Step 6: Final answer
    x = 3,329.10

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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.