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Finding the Fourth Proportional to 12,294.40, 18,441.60 and 7,029.40

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Solution

The fourth proportional to 12,294.40, 18,441.60 and 7,029.40 is: 10,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.40 : 18,441.60 = 7,029.40 : x
  2. Step 2: Convert to fraction form
    12,294.40/18,441.60 = 7,029.40/x
  3. Step 3: Cross multiply
    12,294.40x = 18,441.60 × 7,029.40
  4. Step 4: Simplify right side
    12,294.40x = 129,633,383.04
  5. Step 5: Solve for x
    x = 129,633,383.04/12,294.40
  6. Step 6: Final answer
    x = 10,544.10

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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.