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Finding the Fourth Proportional to 12,134.85, 16,746 and 6,829.53

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Solution

The fourth proportional to 12,134.85, 16,746 and 6,829.53 is: 9,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.85 : 16,746 = 6,829.53 : x
  2. Step 2: Convert to fraction form
    12,134.85/16,746 = 6,829.53/x
  3. Step 3: Cross multiply
    12,134.85x = 16,746 × 6,829.53
  4. Step 4: Simplify right side
    12,134.85x = 114,367,309.38
  5. Step 5: Solve for x
    x = 114,367,309.38/12,134.85
  6. Step 6: Final answer
    x = 9,424.70

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1.5x scale

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.