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Finding the Fourth Proportional to 12,787.46, 17,648.79 and 8,009.21

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Solution

The fourth proportional to 12,787.46, 17,648.79 and 8,009.21 is: 11,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.46 : 17,648.79 = 8,009.21 : x
  2. Step 2: Convert to fraction form
    12,787.46/17,648.79 = 8,009.21/x
  3. Step 3: Cross multiply
    12,787.46x = 17,648.79 × 8,009.21
  4. Step 4: Simplify right side
    12,787.46x = 141,352,865.36
  5. Step 5: Solve for x
    x = 141,352,865.36/12,787.46
  6. Step 6: Final answer
    x = 11,054.02

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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.