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Finding the Fourth Proportional to 8,829, 12,185.64 and 5,103

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Solution

The fourth proportional to 8,829, 12,185.64 and 5,103 is: 7,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 12,185.64 = 5,103 : x
  2. Step 2: Convert to fraction form
    8,829/12,185.64 = 5,103/x
  3. Step 3: Cross multiply
    8,829x = 12,185.64 × 5,103
  4. Step 4: Simplify right side
    8,829x = 62,183,320.92
  5. Step 5: Solve for x
    x = 62,183,320.92/8,829
  6. Step 6: Final answer
    x = 7,043.08

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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.