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Finding the Fourth Proportional to 12,800.96, 19,195.81 and 6,471.95

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Solution

The fourth proportional to 12,800.96, 19,195.81 and 6,471.95 is: 9,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.96 : 19,195.81 = 6,471.95 : x
  2. Step 2: Convert to fraction form
    12,800.96/19,195.81 = 6,471.95/x
  3. Step 3: Cross multiply
    12,800.96x = 19,195.81 × 6,471.95
  4. Step 4: Simplify right side
    12,800.96x = 124,234,210.37
  5. Step 5: Solve for x
    x = 124,234,210.37/12,800.96
  6. Step 6: Final answer
    x = 9,705.07

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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.