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Finding the Fourth Proportional to 12,600, 17,388 and 7,011.36

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Solution

The fourth proportional to 12,600, 17,388 and 7,011.36 is: 9,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600 : 17,388 = 7,011.36 : x
  2. Step 2: Convert to fraction form
    12,600/17,388 = 7,011.36/x
  3. Step 3: Cross multiply
    12,600x = 17,388 × 7,011.36
  4. Step 4: Simplify right side
    12,600x = 121,913,527.68
  5. Step 5: Solve for x
    x = 121,913,527.68/12,600
  6. Step 6: Final answer
    x = 9,675.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.