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Finding the Fourth Proportional to 12,297.70, 18,428.91 and 7,021.78

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Solution

The fourth proportional to 12,297.70, 18,428.91 and 7,021.78 is: 10,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.70 : 18,428.91 = 7,021.78 : x
  2. Step 2: Convert to fraction form
    12,297.70/18,428.91 = 7,021.78/x
  3. Step 3: Cross multiply
    12,297.70x = 18,428.91 × 7,021.78
  4. Step 4: Simplify right side
    12,297.70x = 129,403,751.66
  5. Step 5: Solve for x
    x = 129,403,751.66/12,297.70
  6. Step 6: Final answer
    x = 10,522.60

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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.