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Finding the Fourth Proportional to 20,596, 28,422.36 and 11,164.54

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Solution

The fourth proportional to 20,596, 28,422.36 and 11,164.54 is: 15,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 28,422.36 = 11,164.54 : x
  2. Step 2: Convert to fraction form
    20,596/28,422.36 = 11,164.54/x
  3. Step 3: Cross multiply
    20,596x = 28,422.36 × 11,164.54
  4. Step 4: Simplify right side
    20,596x = 317,322,575.11
  5. Step 5: Solve for x
    x = 317,322,575.11/20,596
  6. Step 6: Final answer
    x = 15,407.00

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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.