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Finding the Fourth Proportional to 12,110.85, 16,714.89 and 7,078.05

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Solution

The fourth proportional to 12,110.85, 16,714.89 and 7,078.05 is: 9,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.85 : 16,714.89 = 7,078.05 : x
  2. Step 2: Convert to fraction form
    12,110.85/16,714.89 = 7,078.05/x
  3. Step 3: Cross multiply
    12,110.85x = 16,714.89 × 7,078.05
  4. Step 4: Simplify right side
    12,110.85x = 118,308,827.16
  5. Step 5: Solve for x
    x = 118,308,827.16/12,110.85
  6. Step 6: Final answer
    x = 9,768.83

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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.