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Finding the Fourth Proportional to 12,686.49, 17,490.58 and 10,409.49

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Solution

The fourth proportional to 12,686.49, 17,490.58 and 10,409.49 is: 14,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.49 : 17,490.58 = 10,409.49 : x
  2. Step 2: Convert to fraction form
    12,686.49/17,490.58 = 10,409.49/x
  3. Step 3: Cross multiply
    12,686.49x = 17,490.58 × 10,409.49
  4. Step 4: Simplify right side
    12,686.49x = 182,067,991.58
  5. Step 5: Solve for x
    x = 182,067,991.58/12,686.49
  6. Step 6: Final answer
    x = 14,351.33

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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.