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Finding the Fourth Proportional to 12,134.88, 16,746.12 and 6,830.88

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Solution

The fourth proportional to 12,134.88, 16,746.12 and 6,830.88 is: 9,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.88 : 16,746.12 = 6,830.88 : x
  2. Step 2: Convert to fraction form
    12,134.88/16,746.12 = 6,830.88/x
  3. Step 3: Cross multiply
    12,134.88x = 16,746.12 × 6,830.88
  4. Step 4: Simplify right side
    12,134.88x = 114,390,736.19
  5. Step 5: Solve for x
    x = 114,390,736.19/12,134.88
  6. Step 6: Final answer
    x = 9,426.61

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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.