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Finding the Fourth Proportional to 13,765.68, 20,647.26 and 6,742.98

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Solution

The fourth proportional to 13,765.68, 20,647.26 and 6,742.98 is: 10,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.68 : 20,647.26 = 6,742.98 : x
  2. Step 2: Convert to fraction form
    13,765.68/20,647.26 = 6,742.98/x
  3. Step 3: Cross multiply
    13,765.68x = 20,647.26 × 6,742.98
  4. Step 4: Simplify right side
    13,765.68x = 139,224,061.23
  5. Step 5: Solve for x
    x = 139,224,061.23/13,765.68
  6. Step 6: Final answer
    x = 10,113.85

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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.