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Finding the Fourth Proportional to 12,859.44, 17,748.88 and 7,822.58

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Solution

The fourth proportional to 12,859.44, 17,748.88 and 7,822.58 is: 10,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.44 : 17,748.88 = 7,822.58 : x
  2. Step 2: Convert to fraction form
    12,859.44/17,748.88 = 7,822.58/x
  3. Step 3: Cross multiply
    12,859.44x = 17,748.88 × 7,822.58
  4. Step 4: Simplify right side
    12,859.44x = 138,842,033.71
  5. Step 5: Solve for x
    x = 138,842,033.71/12,859.44
  6. Step 6: Final answer
    x = 10,796.90

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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.