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Finding the Fourth Proportional to 20,817, 28,727.52 and 11,385.48

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Solution

The fourth proportional to 20,817, 28,727.52 and 11,385.48 is: 15,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 28,727.52 = 11,385.48 : x
  2. Step 2: Convert to fraction form
    20,817/28,727.52 = 11,385.48/x
  3. Step 3: Cross multiply
    20,817x = 28,727.52 × 11,385.48
  4. Step 4: Simplify right side
    20,817x = 327,076,604.41
  5. Step 5: Solve for x
    x = 327,076,604.41/20,817
  6. Step 6: Final answer
    x = 15,712.00

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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.