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Finding the Fourth Proportional to 12,497.76, 18,758 and 6,659.28

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Solution

The fourth proportional to 12,497.76, 18,758 and 6,659.28 is: 9,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.76 : 18,758 = 6,659.28 : x
  2. Step 2: Convert to fraction form
    12,497.76/18,758 = 6,659.28/x
  3. Step 3: Cross multiply
    12,497.76x = 18,758 × 6,659.28
  4. Step 4: Simplify right side
    12,497.76x = 124,914,774.24
  5. Step 5: Solve for x
    x = 124,914,774.24/12,497.76
  6. Step 6: Final answer
    x = 9,994.97

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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.