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Finding the Fourth Proportional to 14,234.82, 19,644.35 and 7,947.20

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Solution

The fourth proportional to 14,234.82, 19,644.35 and 7,947.20 is: 10,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.82 : 19,644.35 = 7,947.20 : x
  2. Step 2: Convert to fraction form
    14,234.82/19,644.35 = 7,947.20/x
  3. Step 3: Cross multiply
    14,234.82x = 19,644.35 × 7,947.20
  4. Step 4: Simplify right side
    14,234.82x = 156,117,440.36
  5. Step 5: Solve for x
    x = 156,117,440.36/14,234.82
  6. Step 6: Final answer
    x = 10,967.29

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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.