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Finding the Fourth Proportional to 10,811.78, 14,920.22 and 6,031.72

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Solution

The fourth proportional to 10,811.78, 14,920.22 and 6,031.72 is: 8,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.78 : 14,920.22 = 6,031.72 : x
  2. Step 2: Convert to fraction form
    10,811.78/14,920.22 = 6,031.72/x
  3. Step 3: Cross multiply
    10,811.78x = 14,920.22 × 6,031.72
  4. Step 4: Simplify right side
    10,811.78x = 89,994,589.38
  5. Step 5: Solve for x
    x = 89,994,589.38/10,811.78
  6. Step 6: Final answer
    x = 8,323.75

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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.