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Finding the Fourth Proportional to 13,913.81, 19,201.08 and 8,170.16

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Solution

The fourth proportional to 13,913.81, 19,201.08 and 8,170.16 is: 11,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.81 : 19,201.08 = 8,170.16 : x
  2. Step 2: Convert to fraction form
    13,913.81/19,201.08 = 8,170.16/x
  3. Step 3: Cross multiply
    13,913.81x = 19,201.08 × 8,170.16
  4. Step 4: Simplify right side
    13,913.81x = 156,875,895.77
  5. Step 5: Solve for x
    x = 156,875,895.77/13,913.81
  6. Step 6: Final answer
    x = 11,274.83

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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.