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Finding the Fourth Proportional to 10,672.86, 16,006.05 and 5,478.06

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Solution

The fourth proportional to 10,672.86, 16,006.05 and 5,478.06 is: 8,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.86 : 16,006.05 = 5,478.06 : x
  2. Step 2: Convert to fraction form
    10,672.86/16,006.05 = 5,478.06/x
  3. Step 3: Cross multiply
    10,672.86x = 16,006.05 × 5,478.06
  4. Step 4: Simplify right side
    10,672.86x = 87,682,102.26
  5. Step 5: Solve for x
    x = 87,682,102.26/10,672.86
  6. Step 6: Final answer
    x = 8,215.43

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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.