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Finding the Fourth Proportional to 13,600, 18,768 and 7,712

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Solution

The fourth proportional to 13,600, 18,768 and 7,712 is: 10,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600 : 18,768 = 7,712 : x
  2. Step 2: Convert to fraction form
    13,600/18,768 = 7,712/x
  3. Step 3: Cross multiply
    13,600x = 18,768 × 7,712
  4. Step 4: Simplify right side
    13,600x = 144,738,816
  5. Step 5: Solve for x
    x = 144,738,816/13,600
  6. Step 6: Final answer
    x = 10,642.56

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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.