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Finding the Fourth Proportional to 9,942.96, 14,908.64 and 7,690.64

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Solution

The fourth proportional to 9,942.96, 14,908.64 and 7,690.64 is: 11,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.96 : 14,908.64 = 7,690.64 : x
  2. Step 2: Convert to fraction form
    9,942.96/14,908.64 = 7,690.64/x
  3. Step 3: Cross multiply
    9,942.96x = 14,908.64 × 7,690.64
  4. Step 4: Simplify right side
    9,942.96x = 114,656,983.13
  5. Step 5: Solve for x
    x = 114,656,983.13/9,942.96
  6. Step 6: Final answer
    x = 11,531.47

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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.