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Finding the Fourth Proportional to 8,568.96, 12,856.80 and 2,726.40

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Solution

The fourth proportional to 8,568.96, 12,856.80 and 2,726.40 is: 4,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.96 : 12,856.80 = 2,726.40 : x
  2. Step 2: Convert to fraction form
    8,568.96/12,856.80 = 2,726.40/x
  3. Step 3: Cross multiply
    8,568.96x = 12,856.80 × 2,726.40
  4. Step 4: Simplify right side
    8,568.96x = 35,052,779.52
  5. Step 5: Solve for x
    x = 35,052,779.52/8,568.96
  6. Step 6: Final answer
    x = 4,090.67

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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.