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Finding the Fourth Proportional to 12,187.86, 16,818 and 7,082.58

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Solution

The fourth proportional to 12,187.86, 16,818 and 7,082.58 is: 9,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.86 : 16,818 = 7,082.58 : x
  2. Step 2: Convert to fraction form
    12,187.86/16,818 = 7,082.58/x
  3. Step 3: Cross multiply
    12,187.86x = 16,818 × 7,082.58
  4. Step 4: Simplify right side
    12,187.86x = 119,114,830.44
  5. Step 5: Solve for x
    x = 119,114,830.44/12,187.86
  6. Step 6: Final answer
    x = 9,773.24

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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.