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Finding the Fourth Proportional to 7,680, 11,529.68 and 6,533.04

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Solution

The fourth proportional to 7,680, 11,529.68 and 6,533.04 is: 9,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 11,529.68 = 6,533.04 : x
  2. Step 2: Convert to fraction form
    7,680/11,529.68 = 6,533.04/x
  3. Step 3: Cross multiply
    7,680x = 11,529.68 × 6,533.04
  4. Step 4: Simplify right side
    7,680x = 75,323,860.63
  5. Step 5: Solve for x
    x = 75,323,860.63/7,680
  6. Step 6: Final answer
    x = 9,807.79

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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.