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Finding the Fourth Proportional to 13,698.64, 18,905.92 and 10,171.92

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Solution

The fourth proportional to 13,698.64, 18,905.92 and 10,171.92 is: 14,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.64 : 18,905.92 = 10,171.92 : x
  2. Step 2: Convert to fraction form
    13,698.64/18,905.92 = 10,171.92/x
  3. Step 3: Cross multiply
    13,698.64x = 18,905.92 × 10,171.92
  4. Step 4: Simplify right side
    13,698.64x = 192,309,505.77
  5. Step 5: Solve for x
    x = 192,309,505.77/13,698.64
  6. Step 6: Final answer
    x = 14,038.58

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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.