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Finding the Fourth Proportional to 12,107.34, 16,714.35 and 8,374.86

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Solution

The fourth proportional to 12,107.34, 16,714.35 and 8,374.86 is: 11,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.34 : 16,714.35 = 8,374.86 : x
  2. Step 2: Convert to fraction form
    12,107.34/16,714.35 = 8,374.86/x
  3. Step 3: Cross multiply
    12,107.34x = 16,714.35 × 8,374.86
  4. Step 4: Simplify right side
    12,107.34x = 139,980,341.24
  5. Step 5: Solve for x
    x = 139,980,341.24/12,107.34
  6. Step 6: Final answer
    x = 11,561.61

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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.