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Finding the Fourth Proportional to 12,668.77, 19,003.20 and 7,471

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Solution

The fourth proportional to 12,668.77, 19,003.20 and 7,471 is: 11,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.77 : 19,003.20 = 7,471 : x
  2. Step 2: Convert to fraction form
    12,668.77/19,003.20 = 7,471/x
  3. Step 3: Cross multiply
    12,668.77x = 19,003.20 × 7,471
  4. Step 4: Simplify right side
    12,668.77x = 141,972,907.20
  5. Step 5: Solve for x
    x = 141,972,907.20/12,668.77
  6. Step 6: Final answer
    x = 11,206.53

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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.