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Finding the Fourth Proportional to 11,900.80, 16,423.24 and 7,184.20

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Solution

The fourth proportional to 11,900.80, 16,423.24 and 7,184.20 is: 9,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.80 : 16,423.24 = 7,184.20 : x
  2. Step 2: Convert to fraction form
    11,900.80/16,423.24 = 7,184.20/x
  3. Step 3: Cross multiply
    11,900.80x = 16,423.24 × 7,184.20
  4. Step 4: Simplify right side
    11,900.80x = 117,987,840.81
  5. Step 5: Solve for x
    x = 117,987,840.81/11,900.80
  6. Step 6: Final answer
    x = 9,914.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.