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Finding the Fourth Proportional to 7,712.64, 11,560.32 and 3,600

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Solution

The fourth proportional to 7,712.64, 11,560.32 and 3,600 is: 5,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.64 : 11,560.32 = 3,600 : x
  2. Step 2: Convert to fraction form
    7,712.64/11,560.32 = 3,600/x
  3. Step 3: Cross multiply
    7,712.64x = 11,560.32 × 3,600
  4. Step 4: Simplify right side
    7,712.64x = 41,617,152
  5. Step 5: Solve for x
    x = 41,617,152/7,712.64
  6. Step 6: Final answer
    x = 5,395.97

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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.