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Finding the Fourth Proportional to 20,406, 28,160.81 and 11,454.20

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Solution

The fourth proportional to 20,406, 28,160.81 and 11,454.20 is: 15,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406 : 28,160.81 = 11,454.20 : x
  2. Step 2: Convert to fraction form
    20,406/28,160.81 = 11,454.20/x
  3. Step 3: Cross multiply
    20,406x = 28,160.81 × 11,454.20
  4. Step 4: Simplify right side
    20,406x = 322,559,351.83
  5. Step 5: Solve for x
    x = 322,559,351.83/20,406
  6. Step 6: Final answer
    x = 15,807.08

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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.