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Finding the Fourth Proportional to 12,831, 17,706.78 and 7,242.36

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Solution

The fourth proportional to 12,831, 17,706.78 and 7,242.36 is: 9,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831 : 17,706.78 = 7,242.36 : x
  2. Step 2: Convert to fraction form
    12,831/17,706.78 = 7,242.36/x
  3. Step 3: Cross multiply
    12,831x = 17,706.78 × 7,242.36
  4. Step 4: Simplify right side
    12,831x = 128,238,875.20
  5. Step 5: Solve for x
    x = 128,238,875.20/12,831
  6. Step 6: Final answer
    x = 9,994.46

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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.