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Finding the Fourth Proportional to 8,472.77, 12,709.09 and 2,549.63

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Solution

The fourth proportional to 8,472.77, 12,709.09 and 2,549.63 is: 3,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.77 : 12,709.09 = 2,549.63 : x
  2. Step 2: Convert to fraction form
    8,472.77/12,709.09 = 2,549.63/x
  3. Step 3: Cross multiply
    8,472.77x = 12,709.09 × 2,549.63
  4. Step 4: Simplify right side
    8,472.77x = 32,403,477.14
  5. Step 5: Solve for x
    x = 32,403,477.14/8,472.77
  6. Step 6: Final answer
    x = 3,824.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.