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Finding the Fourth Proportional to 10,857.81, 14,984.07 and 6,077.73

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Solution

The fourth proportional to 10,857.81, 14,984.07 and 6,077.73 is: 8,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.81 : 14,984.07 = 6,077.73 : x
  2. Step 2: Convert to fraction form
    10,857.81/14,984.07 = 6,077.73/x
  3. Step 3: Cross multiply
    10,857.81x = 14,984.07 × 6,077.73
  4. Step 4: Simplify right side
    10,857.81x = 91,069,194.69
  5. Step 5: Solve for x
    x = 91,069,194.69/10,857.81
  6. Step 6: Final answer
    x = 8,387.43

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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.