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Finding the Fourth Proportional to 14,791.42, 20,406.93 and 9,489.10

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Solution

The fourth proportional to 14,791.42, 20,406.93 and 9,489.10 is: 13,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.42 : 20,406.93 = 9,489.10 : x
  2. Step 2: Convert to fraction form
    14,791.42/20,406.93 = 9,489.10/x
  3. Step 3: Cross multiply
    14,791.42x = 20,406.93 × 9,489.10
  4. Step 4: Simplify right side
    14,791.42x = 193,643,399.46
  5. Step 5: Solve for x
    x = 193,643,399.46/14,791.42
  6. Step 6: Final answer
    x = 13,091.60

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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.