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Finding the Fourth Proportional to 10,216.40, 14,110.50 and 8,179.40

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Solution

The fourth proportional to 10,216.40, 14,110.50 and 8,179.40 is: 11,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.40 : 14,110.50 = 8,179.40 : x
  2. Step 2: Convert to fraction form
    10,216.40/14,110.50 = 8,179.40/x
  3. Step 3: Cross multiply
    10,216.40x = 14,110.50 × 8,179.40
  4. Step 4: Simplify right side
    10,216.40x = 115,415,423.70
  5. Step 5: Solve for x
    x = 115,415,423.70/10,216.40
  6. Step 6: Final answer
    x = 11,297.07

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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.