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Finding the Fourth Proportional to 12,991.54, 19,472.73 and 6,422.34

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Solution

The fourth proportional to 12,991.54, 19,472.73 and 6,422.34 is: 9,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.54 : 19,472.73 = 6,422.34 : x
  2. Step 2: Convert to fraction form
    12,991.54/19,472.73 = 6,422.34/x
  3. Step 3: Cross multiply
    12,991.54x = 19,472.73 × 6,422.34
  4. Step 4: Simplify right side
    12,991.54x = 125,060,468.45
  5. Step 5: Solve for x
    x = 125,060,468.45/12,991.54
  6. Step 6: Final answer
    x = 9,626.30

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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.