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Finding the Fourth Proportional to 11,830.13, 17,728.18 and 8,136.53

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Solution

The fourth proportional to 11,830.13, 17,728.18 and 8,136.53 is: 12,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.13 : 17,728.18 = 8,136.53 : x
  2. Step 2: Convert to fraction form
    11,830.13/17,728.18 = 8,136.53/x
  3. Step 3: Cross multiply
    11,830.13x = 17,728.18 × 8,136.53
  4. Step 4: Simplify right side
    11,830.13x = 144,245,868.42
  5. Step 5: Solve for x
    x = 144,245,868.42/11,830.13
  6. Step 6: Final answer
    x = 12,193.09

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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.