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Finding the Fourth Proportional to 12,677.86, 17,490.09 and 8,487.46

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Solution

The fourth proportional to 12,677.86, 17,490.09 and 8,487.46 is: 11,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.86 : 17,490.09 = 8,487.46 : x
  2. Step 2: Convert to fraction form
    12,677.86/17,490.09 = 8,487.46/x
  3. Step 3: Cross multiply
    12,677.86x = 17,490.09 × 8,487.46
  4. Step 4: Simplify right side
    12,677.86x = 148,446,439.27
  5. Step 5: Solve for x
    x = 148,446,439.27/12,677.86
  6. Step 6: Final answer
    x = 11,709.11

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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.