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Finding the Fourth Proportional to 12,873.60, 17,765.70 and 7,568.50

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Solution

The fourth proportional to 12,873.60, 17,765.70 and 7,568.50 is: 10,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.60 : 17,765.70 = 7,568.50 : x
  2. Step 2: Convert to fraction form
    12,873.60/17,765.70 = 7,568.50/x
  3. Step 3: Cross multiply
    12,873.60x = 17,765.70 × 7,568.50
  4. Step 4: Simplify right side
    12,873.60x = 134,459,700.45
  5. Step 5: Solve for x
    x = 134,459,700.45/12,873.60
  6. Step 6: Final answer
    x = 10,444.61

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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.