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Finding the Fourth Proportional to 14,751.68, 20,361.60 and 9,719.60

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Solution

The fourth proportional to 14,751.68, 20,361.60 and 9,719.60 is: 13,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.68 : 20,361.60 = 9,719.60 : x
  2. Step 2: Convert to fraction form
    14,751.68/20,361.60 = 9,719.60/x
  3. Step 3: Cross multiply
    14,751.68x = 20,361.60 × 9,719.60
  4. Step 4: Simplify right side
    14,751.68x = 197,906,607.36
  5. Step 5: Solve for x
    x = 197,906,607.36/14,751.68
  6. Step 6: Final answer
    x = 13,415.87

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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.