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Finding the Fourth Proportional to 8,434.91, 12,652.53 and 2,894.62

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Solution

The fourth proportional to 8,434.91, 12,652.53 and 2,894.62 is: 4,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.91 : 12,652.53 = 2,894.62 : x
  2. Step 2: Convert to fraction form
    8,434.91/12,652.53 = 2,894.62/x
  3. Step 3: Cross multiply
    8,434.91x = 12,652.53 × 2,894.62
  4. Step 4: Simplify right side
    8,434.91x = 36,624,234.76
  5. Step 5: Solve for x
    x = 36,624,234.76/8,434.91
  6. Step 6: Final answer
    x = 4,341.99

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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.