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Finding the Fourth Proportional to 7,712.64, 11,574 and 3,096

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Solution

The fourth proportional to 7,712.64, 11,574 and 3,096 is: 4,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.64 : 11,574 = 3,096 : x
  2. Step 2: Convert to fraction form
    7,712.64/11,574 = 3,096/x
  3. Step 3: Cross multiply
    7,712.64x = 11,574 × 3,096
  4. Step 4: Simplify right side
    7,712.64x = 35,833,104
  5. Step 5: Solve for x
    x = 35,833,104/7,712.64
  6. Step 6: Final answer
    x = 4,646.02

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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.