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Finding the Fourth Proportional to 10,676.81, 15,998.51 and 8,041.28

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Solution

The fourth proportional to 10,676.81, 15,998.51 and 8,041.28 is: 12,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.81 : 15,998.51 = 8,041.28 : x
  2. Step 2: Convert to fraction form
    10,676.81/15,998.51 = 8,041.28/x
  3. Step 3: Cross multiply
    10,676.81x = 15,998.51 × 8,041.28
  4. Step 4: Simplify right side
    10,676.81x = 128,648,438.60
  5. Step 5: Solve for x
    x = 128,648,438.60/10,676.81
  6. Step 6: Final answer
    x = 12,049.33

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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.