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Finding the Fourth Proportional to 11,800.80, 17,703.12 and 4,782.24

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Solution

The fourth proportional to 11,800.80, 17,703.12 and 4,782.24 is: 7,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.80 : 17,703.12 = 4,782.24 : x
  2. Step 2: Convert to fraction form
    11,800.80/17,703.12 = 4,782.24/x
  3. Step 3: Cross multiply
    11,800.80x = 17,703.12 × 4,782.24
  4. Step 4: Simplify right side
    11,800.80x = 84,660,568.59
  5. Step 5: Solve for x
    x = 84,660,568.59/11,800.80
  6. Step 6: Final answer
    x = 7,174.14

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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.