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Finding the Fourth Proportional to 7,684,721.76, 11,520,861.84 and 3,200,354.40

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Solution

The fourth proportional to 7,684,721.76, 11,520,861.84 and 3,200,354.40 is: 4,797,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,721.76 : 11,520,861.84 = 3,200,354.40 : x
  2. Step 2: Convert to fraction form
    7,684,721.76/11,520,861.84 = 3,200,354.40/x
  3. Step 3: Cross multiply
    7,684,721.76x = 11,520,861.84 × 3,200,354.40
  4. Step 4: Simplify right side
    7,684,721.76x = 36,870,840,881,436.09
  5. Step 5: Solve for x
    x = 36,870,840,881,436.09/7,684,721.76
  6. Step 6: Final answer
    x = 4,797,940.91

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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.