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Finding the Fourth Proportional to 11,871.93, 16,385.99 and 6,839.07

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Solution

The fourth proportional to 11,871.93, 16,385.99 and 6,839.07 is: 9,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.93 : 16,385.99 = 6,839.07 : x
  2. Step 2: Convert to fraction form
    11,871.93/16,385.99 = 6,839.07/x
  3. Step 3: Cross multiply
    11,871.93x = 16,385.99 × 6,839.07
  4. Step 4: Simplify right side
    11,871.93x = 112,064,932.63
  5. Step 5: Solve for x
    x = 112,064,932.63/11,871.93
  6. Step 6: Final answer
    x = 9,439.49

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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.