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Finding the Fourth Proportional to 10,666.80, 15,986.60 and 5,986.80

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Solution

The fourth proportional to 10,666.80, 15,986.60 and 5,986.80 is: 8,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.80 : 15,986.60 = 5,986.80 : x
  2. Step 2: Convert to fraction form
    10,666.80/15,986.60 = 5,986.80/x
  3. Step 3: Cross multiply
    10,666.80x = 15,986.60 × 5,986.80
  4. Step 4: Simplify right side
    10,666.80x = 95,708,576.88
  5. Step 5: Solve for x
    x = 95,708,576.88/10,666.80
  6. Step 6: Final answer
    x = 8,972.57

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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.