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Finding the Fourth Proportional to 20,684, 28,541.76 and 11,728.64

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Solution

The fourth proportional to 20,684, 28,541.76 and 11,728.64 is: 16,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684 : 28,541.76 = 11,728.64 : x
  2. Step 2: Convert to fraction form
    20,684/28,541.76 = 11,728.64/x
  3. Step 3: Cross multiply
    20,684x = 28,541.76 × 11,728.64
  4. Step 4: Simplify right side
    20,684x = 334,756,028.01
  5. Step 5: Solve for x
    x = 334,756,028.01/20,684
  6. Step 6: Final answer
    x = 16,184.30

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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.