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Finding the Fourth Proportional to 13,898.32, 19,181.52 and 7,928.64

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Solution

The fourth proportional to 13,898.32, 19,181.52 and 7,928.64 is: 10,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.32 : 19,181.52 = 7,928.64 : x
  2. Step 2: Convert to fraction form
    13,898.32/19,181.52 = 7,928.64/x
  3. Step 3: Cross multiply
    13,898.32x = 19,181.52 × 7,928.64
  4. Step 4: Simplify right side
    13,898.32x = 152,083,366.73
  5. Step 5: Solve for x
    x = 152,083,366.73/13,898.32
  6. Step 6: Final answer
    x = 10,942.57

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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.