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Finding the Fourth Proportional to 13,728.54, 20,584.98 and 4,366.74

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Solution

The fourth proportional to 13,728.54, 20,584.98 and 4,366.74 is: 6,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.54 : 20,584.98 = 4,366.74 : x
  2. Step 2: Convert to fraction form
    13,728.54/20,584.98 = 4,366.74/x
  3. Step 3: Cross multiply
    13,728.54x = 20,584.98 × 4,366.74
  4. Step 4: Simplify right side
    13,728.54x = 89,889,255.57
  5. Step 5: Solve for x
    x = 89,889,255.57/13,728.54
  6. Step 6: Final answer
    x = 6,547.62

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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.