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Finding the Fourth Proportional to 13,730.53, 18,947.70 and 8,065.18

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Solution

The fourth proportional to 13,730.53, 18,947.70 and 8,065.18 is: 11,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.53 : 18,947.70 = 8,065.18 : x
  2. Step 2: Convert to fraction form
    13,730.53/18,947.70 = 8,065.18/x
  3. Step 3: Cross multiply
    13,730.53x = 18,947.70 × 8,065.18
  4. Step 4: Simplify right side
    13,730.53x = 152,816,611.09
  5. Step 5: Solve for x
    x = 152,816,611.09/13,730.53
  6. Step 6: Final answer
    x = 11,129.69

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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.