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Finding the Fourth Proportional to 11,666.80, 16,100.50 and 7,130.22

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Solution

The fourth proportional to 11,666.80, 16,100.50 and 7,130.22 is: 9,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.80 : 16,100.50 = 7,130.22 : x
  2. Step 2: Convert to fraction form
    11,666.80/16,100.50 = 7,130.22/x
  3. Step 3: Cross multiply
    11,666.80x = 16,100.50 × 7,130.22
  4. Step 4: Simplify right side
    11,666.80x = 114,800,107.11
  5. Step 5: Solve for x
    x = 114,800,107.11/11,666.80
  6. Step 6: Final answer
    x = 9,839.90

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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.