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Finding the Fourth Proportional to 12,859.60, 17,748.14 and 8,144.32

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Solution

The fourth proportional to 12,859.60, 17,748.14 and 8,144.32 is: 11,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.60 : 17,748.14 = 8,144.32 : x
  2. Step 2: Convert to fraction form
    12,859.60/17,748.14 = 8,144.32/x
  3. Step 3: Cross multiply
    12,859.60x = 17,748.14 × 8,144.32
  4. Step 4: Simplify right side
    12,859.60x = 144,546,531.56
  5. Step 5: Solve for x
    x = 144,546,531.56/12,859.60
  6. Step 6: Final answer
    x = 11,240.36

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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.