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Finding the Fourth Proportional to 13,653.84, 20,480.04 and 6,726

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Solution

The fourth proportional to 13,653.84, 20,480.04 and 6,726 is: 10,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.84 : 20,480.04 = 6,726 : x
  2. Step 2: Convert to fraction form
    13,653.84/20,480.04 = 6,726/x
  3. Step 3: Cross multiply
    13,653.84x = 20,480.04 × 6,726
  4. Step 4: Simplify right side
    13,653.84x = 137,748,749.04
  5. Step 5: Solve for x
    x = 137,748,749.04/13,653.84
  6. Step 6: Final answer
    x = 10,088.65

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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.