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Finding the Fourth Proportional to 12,842.94, 17,724.92 and 7,538.25

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Solution

The fourth proportional to 12,842.94, 17,724.92 and 7,538.25 is: 10,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.94 : 17,724.92 = 7,538.25 : x
  2. Step 2: Convert to fraction form
    12,842.94/17,724.92 = 7,538.25/x
  3. Step 3: Cross multiply
    12,842.94x = 17,724.92 × 7,538.25
  4. Step 4: Simplify right side
    12,842.94x = 133,614,878.19
  5. Step 5: Solve for x
    x = 133,614,878.19/12,842.94
  6. Step 6: Final answer
    x = 10,403.76

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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.