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Finding the Fourth Proportional to 14,510.09, 20,028.21 and 9,475.10

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Solution

The fourth proportional to 14,510.09, 20,028.21 and 9,475.10 is: 13,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.09 : 20,028.21 = 9,475.10 : x
  2. Step 2: Convert to fraction form
    14,510.09/20,028.21 = 9,475.10/x
  3. Step 3: Cross multiply
    14,510.09x = 20,028.21 × 9,475.10
  4. Step 4: Simplify right side
    14,510.09x = 189,769,145.05
  5. Step 5: Solve for x
    x = 189,769,145.05/14,510.09
  6. Step 6: Final answer
    x = 13,078.43

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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.