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Finding the Fourth Proportional to 7,728.64, 10,665.66 and 4,192

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Solution

The fourth proportional to 7,728.64, 10,665.66 and 4,192 is: 5,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.64 : 10,665.66 = 4,192 : x
  2. Step 2: Convert to fraction form
    7,728.64/10,665.66 = 4,192/x
  3. Step 3: Cross multiply
    7,728.64x = 10,665.66 × 4,192
  4. Step 4: Simplify right side
    7,728.64x = 44,710,446.72
  5. Step 5: Solve for x
    x = 44,710,446.72/7,728.64
  6. Step 6: Final answer
    x = 5,785.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.