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Finding the Fourth Proportional to 8,416, 11,614.08 and 4,690

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Solution

The fourth proportional to 8,416, 11,614.08 and 4,690 is: 6,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 11,614.08 = 4,690 : x
  2. Step 2: Convert to fraction form
    8,416/11,614.08 = 4,690/x
  3. Step 3: Cross multiply
    8,416x = 11,614.08 × 4,690
  4. Step 4: Simplify right side
    8,416x = 54,470,035.20
  5. Step 5: Solve for x
    x = 54,470,035.20/8,416
  6. Step 6: Final answer
    x = 6,472.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.