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Finding the Fourth Proportional to 20,430, 28,193.77 and 11,356.21

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Solution

The fourth proportional to 20,430, 28,193.77 and 11,356.21 is: 15,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430 : 28,193.77 = 11,356.21 : x
  2. Step 2: Convert to fraction form
    20,430/28,193.77 = 11,356.21/x
  3. Step 3: Cross multiply
    20,430x = 28,193.77 × 11,356.21
  4. Step 4: Simplify right side
    20,430x = 320,174,372.81
  5. Step 5: Solve for x
    x = 320,174,372.81/20,430
  6. Step 6: Final answer
    x = 15,671.78

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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.