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Finding the Fourth Proportional to 12,753.60, 17,604 and 7,448.64

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Solution

The fourth proportional to 12,753.60, 17,604 and 7,448.64 is: 10,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.60 : 17,604 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    12,753.60/17,604 = 7,448.64/x
  3. Step 3: Cross multiply
    12,753.60x = 17,604 × 7,448.64
  4. Step 4: Simplify right side
    12,753.60x = 131,125,858.56
  5. Step 5: Solve for x
    x = 131,125,858.56/12,753.60
  6. Step 6: Final answer
    x = 10,281.48

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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.