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Finding the Fourth Proportional to 12,357.54, 17,053.83 and 6,768.54

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Solution

The fourth proportional to 12,357.54, 17,053.83 and 6,768.54 is: 9,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.54 : 17,053.83 = 6,768.54 : x
  2. Step 2: Convert to fraction form
    12,357.54/17,053.83 = 6,768.54/x
  3. Step 3: Cross multiply
    12,357.54x = 17,053.83 × 6,768.54
  4. Step 4: Simplify right side
    12,357.54x = 115,429,530.51
  5. Step 5: Solve for x
    x = 115,429,530.51/12,357.54
  6. Step 6: Final answer
    x = 9,340.82

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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.