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Finding the Fourth Proportional to 13,806.46, 20,705.55 and 4,920.20

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Solution

The fourth proportional to 13,806.46, 20,705.55 and 4,920.20 is: 7,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.46 : 20,705.55 = 4,920.20 : x
  2. Step 2: Convert to fraction form
    13,806.46/20,705.55 = 4,920.20/x
  3. Step 3: Cross multiply
    13,806.46x = 20,705.55 × 4,920.20
  4. Step 4: Simplify right side
    13,806.46x = 101,875,447.11
  5. Step 5: Solve for x
    x = 101,875,447.11/13,806.46
  6. Step 6: Final answer
    x = 7,378.82

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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.