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Finding the Fourth Proportional to 13,900.30, 20,860.20 and 6,114.58

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Solution

The fourth proportional to 13,900.30, 20,860.20 and 6,114.58 is: 9,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.30 : 20,860.20 = 6,114.58 : x
  2. Step 2: Convert to fraction form
    13,900.30/20,860.20 = 6,114.58/x
  3. Step 3: Cross multiply
    13,900.30x = 20,860.20 × 6,114.58
  4. Step 4: Simplify right side
    13,900.30x = 127,551,361.72
  5. Step 5: Solve for x
    x = 127,551,361.72/13,900.30
  6. Step 6: Final answer
    x = 9,176.16

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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.