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Finding the Fourth Proportional to 12,651.36, 17,462 and 7,687.52

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Solution

The fourth proportional to 12,651.36, 17,462 and 7,687.52 is: 10,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.36 : 17,462 = 7,687.52 : x
  2. Step 2: Convert to fraction form
    12,651.36/17,462 = 7,687.52/x
  3. Step 3: Cross multiply
    12,651.36x = 17,462 × 7,687.52
  4. Step 4: Simplify right side
    12,651.36x = 134,239,474.24
  5. Step 5: Solve for x
    x = 134,239,474.24/12,651.36
  6. Step 6: Final answer
    x = 10,610.68

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1.5x scale

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.