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Finding the Fourth Proportional to 12,815.16, 19,232.44 and 8,645.28

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Solution

The fourth proportional to 12,815.16, 19,232.44 and 8,645.28 is: 12,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.16 : 19,232.44 = 8,645.28 : x
  2. Step 2: Convert to fraction form
    12,815.16/19,232.44 = 8,645.28/x
  3. Step 3: Cross multiply
    12,815.16x = 19,232.44 × 8,645.28
  4. Step 4: Simplify right side
    12,815.16x = 166,269,828.88
  5. Step 5: Solve for x
    x = 166,269,828.88/12,815.16
  6. Step 6: Final answer
    x = 12,974.46

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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.