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Finding the Fourth Proportional to 9,462, 12,963 and 9,107.30

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Solution

The fourth proportional to 9,462, 12,963 and 9,107.30 is: 12,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462 : 12,963 = 9,107.30 : x
  2. Step 2: Convert to fraction form
    9,462/12,963 = 9,107.30/x
  3. Step 3: Cross multiply
    9,462x = 12,963 × 9,107.30
  4. Step 4: Simplify right side
    9,462x = 118,057,865.09
  5. Step 5: Solve for x
    x = 118,057,865.09/9,462
  6. Step 6: Final answer
    x = 12,477.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.