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Finding the Fourth Proportional to 12,787.20, 17,625.60 and 10,425.60

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Solution

The fourth proportional to 12,787.20, 17,625.60 and 10,425.60 is: 14,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.20 : 17,625.60 = 10,425.60 : x
  2. Step 2: Convert to fraction form
    12,787.20/17,625.60 = 10,425.60/x
  3. Step 3: Cross multiply
    12,787.20x = 17,625.60 × 10,425.60
  4. Step 4: Simplify right side
    12,787.20x = 183,757,455.36
  5. Step 5: Solve for x
    x = 183,757,455.36/12,787.20
  6. Step 6: Final answer
    x = 14,370.42

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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.