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Finding the Fourth Proportional to 8,658.72, 12,983.76 and 2,813.76

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Solution

The fourth proportional to 8,658.72, 12,983.76 and 2,813.76 is: 4,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.72 : 12,983.76 = 2,813.76 : x
  2. Step 2: Convert to fraction form
    8,658.72/12,983.76 = 2,813.76/x
  3. Step 3: Cross multiply
    8,658.72x = 12,983.76 × 2,813.76
  4. Step 4: Simplify right side
    8,658.72x = 36,533,184.54
  5. Step 5: Solve for x
    x = 36,533,184.54/8,658.72
  6. Step 6: Final answer
    x = 4,219.24

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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.