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Finding the Fourth Proportional to 12,134.66, 16,746.16 and 6,829.66

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Solution

The fourth proportional to 12,134.66, 16,746.16 and 6,829.66 is: 9,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.66 : 16,746.16 = 6,829.66 : x
  2. Step 2: Convert to fraction form
    12,134.66/16,746.16 = 6,829.66/x
  3. Step 3: Cross multiply
    12,134.66x = 16,746.16 × 6,829.66
  4. Step 4: Simplify right side
    12,134.66x = 114,370,579.11
  5. Step 5: Solve for x
    x = 114,370,579.11/12,134.66
  6. Step 6: Final answer
    x = 9,425.12

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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.