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Finding the Fourth Proportional to 14,311.41, 19,747.96 and 8,645.21

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Solution

The fourth proportional to 14,311.41, 19,747.96 and 8,645.21 is: 11,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.41 : 19,747.96 = 8,645.21 : x
  2. Step 2: Convert to fraction form
    14,311.41/19,747.96 = 8,645.21/x
  3. Step 3: Cross multiply
    14,311.41x = 19,747.96 × 8,645.21
  4. Step 4: Simplify right side
    14,311.41x = 170,725,261.27
  5. Step 5: Solve for x
    x = 170,725,261.27/14,311.41
  6. Step 6: Final answer
    x = 11,929.31

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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.