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Finding the Fourth Proportional to 12,428.10, 18,611 and 7,427.40

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Solution

The fourth proportional to 12,428.10, 18,611 and 7,427.40 is: 11,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.10 : 18,611 = 7,427.40 : x
  2. Step 2: Convert to fraction form
    12,428.10/18,611 = 7,427.40/x
  3. Step 3: Cross multiply
    12,428.10x = 18,611 × 7,427.40
  4. Step 4: Simplify right side
    12,428.10x = 138,231,341.40
  5. Step 5: Solve for x
    x = 138,231,341.40/12,428.10
  6. Step 6: Final answer
    x = 11,122.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.