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Finding the Fourth Proportional to 12,859.41, 17,744.81 and 8,143.59

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Solution

The fourth proportional to 12,859.41, 17,744.81 and 8,143.59 is: 11,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.41 : 17,744.81 = 8,143.59 : x
  2. Step 2: Convert to fraction form
    12,859.41/17,744.81 = 8,143.59/x
  3. Step 3: Cross multiply
    12,859.41x = 17,744.81 × 8,143.59
  4. Step 4: Simplify right side
    12,859.41x = 144,506,388.90
  5. Step 5: Solve for x
    x = 144,506,388.90/12,859.41
  6. Step 6: Final answer
    x = 11,237.41

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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.