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Finding the Fourth Proportional to 20,641, 28,484.72 and 11,209.56

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Solution

The fourth proportional to 20,641, 28,484.72 and 11,209.56 is: 15,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641 : 28,484.72 = 11,209.56 : x
  2. Step 2: Convert to fraction form
    20,641/28,484.72 = 11,209.56/x
  3. Step 3: Cross multiply
    20,641x = 28,484.72 × 11,209.56
  4. Step 4: Simplify right side
    20,641x = 319,301,177.92
  5. Step 5: Solve for x
    x = 319,301,177.92/20,641
  6. Step 6: Final answer
    x = 15,469.27

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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.