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Finding the Fourth Proportional to 12,998.41, 17,942.40 and 7,693.21

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Solution

The fourth proportional to 12,998.41, 17,942.40 and 7,693.21 is: 10,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.41 : 17,942.40 = 7,693.21 : x
  2. Step 2: Convert to fraction form
    12,998.41/17,942.40 = 7,693.21/x
  3. Step 3: Cross multiply
    12,998.41x = 17,942.40 × 7,693.21
  4. Step 4: Simplify right side
    12,998.41x = 138,034,673.53
  5. Step 5: Solve for x
    x = 138,034,673.53/12,998.41
  6. Step 6: Final answer
    x = 10,619.35

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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.