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Finding the Fourth Proportional to 12,321.86, 16,997.85 and 8,341.58

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Solution

The fourth proportional to 12,321.86, 16,997.85 and 8,341.58 is: 11,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.86 : 16,997.85 = 8,341.58 : x
  2. Step 2: Convert to fraction form
    12,321.86/16,997.85 = 8,341.58/x
  3. Step 3: Cross multiply
    12,321.86x = 16,997.85 × 8,341.58
  4. Step 4: Simplify right side
    12,321.86x = 141,788,925.60
  5. Step 5: Solve for x
    x = 141,788,925.60/12,321.86
  6. Step 6: Final answer
    x = 11,507.10

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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.