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Finding the Fourth Proportional to 12,800.40, 17,660.86 and 8,330.71

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Solution

The fourth proportional to 12,800.40, 17,660.86 and 8,330.71 is: 11,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.40 : 17,660.86 = 8,330.71 : x
  2. Step 2: Convert to fraction form
    12,800.40/17,660.86 = 8,330.71/x
  3. Step 3: Cross multiply
    12,800.40x = 17,660.86 × 8,330.71
  4. Step 4: Simplify right side
    12,800.40x = 147,127,503.01
  5. Step 5: Solve for x
    x = 147,127,503.01/12,800.40
  6. Step 6: Final answer
    x = 11,493.98

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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.