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Finding the Fourth Proportional to 12,816, 17,686.08 and 6,928

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Solution

The fourth proportional to 12,816, 17,686.08 and 6,928 is: 9,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 17,686.08 = 6,928 : x
  2. Step 2: Convert to fraction form
    12,816/17,686.08 = 6,928/x
  3. Step 3: Cross multiply
    12,816x = 17,686.08 × 6,928
  4. Step 4: Simplify right side
    12,816x = 122,529,162.24
  5. Step 5: Solve for x
    x = 122,529,162.24/12,816
  6. Step 6: Final answer
    x = 9,560.64

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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.