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Finding the Fourth Proportional to 12,816, 17,686.26 and 7,848

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Solution

The fourth proportional to 12,816, 17,686.26 and 7,848 is: 10,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 17,686.26 = 7,848 : x
  2. Step 2: Convert to fraction form
    12,816/17,686.26 = 7,848/x
  3. Step 3: Cross multiply
    12,816x = 17,686.26 × 7,848
  4. Step 4: Simplify right side
    12,816x = 138,801,768.48
  5. Step 5: Solve for x
    x = 138,801,768.48/12,816
  6. Step 6: Final answer
    x = 10,830.35

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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.