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Finding the Fourth Proportional to 12,687.93, 19,053.68 and 7,786.35

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Solution

The fourth proportional to 12,687.93, 19,053.68 and 7,786.35 is: 11,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.93 : 19,053.68 = 7,786.35 : x
  2. Step 2: Convert to fraction form
    12,687.93/19,053.68 = 7,786.35/x
  3. Step 3: Cross multiply
    12,687.93x = 19,053.68 × 7,786.35
  4. Step 4: Simplify right side
    12,687.93x = 148,358,582.34
  5. Step 5: Solve for x
    x = 148,358,582.34/12,687.93
  6. Step 6: Final answer
    x = 11,692.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.