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Finding the Fourth Proportional to 7,914.52, 11,871.78 and 2,071.63

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Solution

The fourth proportional to 7,914.52, 11,871.78 and 2,071.63 is: 3,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.52 : 11,871.78 = 2,071.63 : x
  2. Step 2: Convert to fraction form
    7,914.52/11,871.78 = 2,071.63/x
  3. Step 3: Cross multiply
    7,914.52x = 11,871.78 × 2,071.63
  4. Step 4: Simplify right side
    7,914.52x = 24,593,935.60
  5. Step 5: Solve for x
    x = 24,593,935.60/7,914.52
  6. Step 6: Final answer
    x = 3,107.45

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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.