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Finding the Fourth Proportional to 13,894.92, 20,836.08 and 5,123.64

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Solution

The fourth proportional to 13,894.92, 20,836.08 and 5,123.64 is: 7,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.92 : 20,836.08 = 5,123.64 : x
  2. Step 2: Convert to fraction form
    13,894.92/20,836.08 = 5,123.64/x
  3. Step 3: Cross multiply
    13,894.92x = 20,836.08 × 5,123.64
  4. Step 4: Simplify right side
    13,894.92x = 106,756,572.93
  5. Step 5: Solve for x
    x = 106,756,572.93/13,894.92
  6. Step 6: Final answer
    x = 7,683.14

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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.