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Finding the Fourth Proportional to 13,888.56, 20,833.02 and 6,492

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Solution

The fourth proportional to 13,888.56, 20,833.02 and 6,492 is: 9,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.56 : 20,833.02 = 6,492 : x
  2. Step 2: Convert to fraction form
    13,888.56/20,833.02 = 6,492/x
  3. Step 3: Cross multiply
    13,888.56x = 20,833.02 × 6,492
  4. Step 4: Simplify right side
    13,888.56x = 135,247,965.84
  5. Step 5: Solve for x
    x = 135,247,965.84/13,888.56
  6. Step 6: Final answer
    x = 9,738.08

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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.