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Finding the Fourth Proportional to 12,270.46, 16,932.96 and 7,166.86

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Solution

The fourth proportional to 12,270.46, 16,932.96 and 7,166.86 is: 9,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.46 : 16,932.96 = 7,166.86 : x
  2. Step 2: Convert to fraction form
    12,270.46/16,932.96 = 7,166.86/x
  3. Step 3: Cross multiply
    12,270.46x = 16,932.96 × 7,166.86
  4. Step 4: Simplify right side
    12,270.46x = 121,356,153.71
  5. Step 5: Solve for x
    x = 121,356,153.71/12,270.46
  6. Step 6: Final answer
    x = 9,890.11

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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.