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Finding the Fourth Proportional to 20,523, 28,324.50 and 11,572.32

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Solution

The fourth proportional to 20,523, 28,324.50 and 11,572.32 is: 15,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523 : 28,324.50 = 11,572.32 : x
  2. Step 2: Convert to fraction form
    20,523/28,324.50 = 11,572.32/x
  3. Step 3: Cross multiply
    20,523x = 28,324.50 × 11,572.32
  4. Step 4: Simplify right side
    20,523x = 327,780,177.84
  5. Step 5: Solve for x
    x = 327,780,177.84/20,523
  6. Step 6: Final answer
    x = 15,971.36

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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.