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Finding the Fourth Proportional to 7,685.63, 11,528.64 and 3,068.63

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Solution

The fourth proportional to 7,685.63, 11,528.64 and 3,068.63 is: 4,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.63 : 11,528.64 = 3,068.63 : x
  2. Step 2: Convert to fraction form
    7,685.63/11,528.64 = 3,068.63/x
  3. Step 3: Cross multiply
    7,685.63x = 11,528.64 × 3,068.63
  4. Step 4: Simplify right side
    7,685.63x = 35,377,072.92
  5. Step 5: Solve for x
    x = 35,377,072.92/7,685.63
  6. Step 6: Final answer
    x = 4,603.02

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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.