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Finding the Fourth Proportional to 13,685.73, 20,534.73 and 8,428.71

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Solution

The fourth proportional to 13,685.73, 20,534.73 and 8,428.71 is: 12,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.73 : 20,534.73 = 8,428.71 : x
  2. Step 2: Convert to fraction form
    13,685.73/20,534.73 = 8,428.71/x
  3. Step 3: Cross multiply
    13,685.73x = 20,534.73 × 8,428.71
  4. Step 4: Simplify right side
    13,685.73x = 173,081,284.10
  5. Step 5: Solve for x
    x = 173,081,284.10/13,685.73
  6. Step 6: Final answer
    x = 12,646.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.