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Finding the Fourth Proportional to 7,762.16, 11,651.28 and 3,869.44

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Solution

The fourth proportional to 7,762.16, 11,651.28 and 3,869.44 is: 5,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.16 : 11,651.28 = 3,869.44 : x
  2. Step 2: Convert to fraction form
    7,762.16/11,651.28 = 3,869.44/x
  3. Step 3: Cross multiply
    7,762.16x = 11,651.28 × 3,869.44
  4. Step 4: Simplify right side
    7,762.16x = 45,083,928.88
  5. Step 5: Solve for x
    x = 45,083,928.88/7,762.16
  6. Step 6: Final answer
    x = 5,808.17

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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.