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Finding the Fourth Proportional to 12,914.58, 17,822.25 and 7,324.50

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Solution

The fourth proportional to 12,914.58, 17,822.25 and 7,324.50 is: 10,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.58 : 17,822.25 = 7,324.50 : x
  2. Step 2: Convert to fraction form
    12,914.58/17,822.25 = 7,324.50/x
  3. Step 3: Cross multiply
    12,914.58x = 17,822.25 × 7,324.50
  4. Step 4: Simplify right side
    12,914.58x = 130,539,070.13
  5. Step 5: Solve for x
    x = 130,539,070.13/12,914.58
  6. Step 6: Final answer
    x = 10,107.88

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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.