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Finding the Fourth Proportional to 7,664.32, 11,489.68 and 4,536.64

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Solution

The fourth proportional to 7,664.32, 11,489.68 and 4,536.64 is: 6,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.32 : 11,489.68 = 4,536.64 : x
  2. Step 2: Convert to fraction form
    7,664.32/11,489.68 = 4,536.64/x
  3. Step 3: Cross multiply
    7,664.32x = 11,489.68 × 4,536.64
  4. Step 4: Simplify right side
    7,664.32x = 52,124,541.88
  5. Step 5: Solve for x
    x = 52,124,541.88/7,664.32
  6. Step 6: Final answer
    x = 6,800.93

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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.