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Finding the Fourth Proportional to 15,114.82, 20,847.14 and 9,138.84

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Solution

The fourth proportional to 15,114.82, 20,847.14 and 9,138.84 is: 12,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.82 : 20,847.14 = 9,138.84 : x
  2. Step 2: Convert to fraction form
    15,114.82/20,847.14 = 9,138.84/x
  3. Step 3: Cross multiply
    15,114.82x = 20,847.14 × 9,138.84
  4. Step 4: Simplify right side
    15,114.82x = 190,518,683.34
  5. Step 5: Solve for x
    x = 190,518,683.34/15,114.82
  6. Step 6: Final answer
    x = 12,604.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.