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Finding the Fourth Proportional to 8,446.96, 12,666.10 and 2,898.81

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Solution

The fourth proportional to 8,446.96, 12,666.10 and 2,898.81 is: 4,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.96 : 12,666.10 = 2,898.81 : x
  2. Step 2: Convert to fraction form
    8,446.96/12,666.10 = 2,898.81/x
  3. Step 3: Cross multiply
    8,446.96x = 12,666.10 × 2,898.81
  4. Step 4: Simplify right side
    8,446.96x = 36,716,617.34
  5. Step 5: Solve for x
    x = 36,716,617.34/8,446.96
  6. Step 6: Final answer
    x = 4,346.73

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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.