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Finding the Fourth Proportional to 8,676.96, 13,009.68 and 2,831.52

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Solution

The fourth proportional to 8,676.96, 13,009.68 and 2,831.52 is: 4,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.96 : 13,009.68 = 2,831.52 : x
  2. Step 2: Convert to fraction form
    8,676.96/13,009.68 = 2,831.52/x
  3. Step 3: Cross multiply
    8,676.96x = 13,009.68 × 2,831.52
  4. Step 4: Simplify right side
    8,676.96x = 36,837,169.11
  5. Step 5: Solve for x
    x = 36,837,169.11/8,676.96
  6. Step 6: Final answer
    x = 4,245.40

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1.5x scale

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.