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Finding the Fourth Proportional to 13,660.85, 18,852.84 and 8,283.80

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Solution

The fourth proportional to 13,660.85, 18,852.84 and 8,283.80 is: 11,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.85 : 18,852.84 = 8,283.80 : x
  2. Step 2: Convert to fraction form
    13,660.85/18,852.84 = 8,283.80/x
  3. Step 3: Cross multiply
    13,660.85x = 18,852.84 × 8,283.80
  4. Step 4: Simplify right side
    13,660.85x = 156,173,088.15
  5. Step 5: Solve for x
    x = 156,173,088.15/13,660.85
  6. Step 6: Final answer
    x = 11,432.17

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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.