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Finding the Fourth Proportional to 7,947.16, 11,900.12 and 7,713.36

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Solution

The fourth proportional to 7,947.16, 11,900.12 and 7,713.36 is: 11,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.16 : 11,900.12 = 7,713.36 : x
  2. Step 2: Convert to fraction form
    7,947.16/11,900.12 = 7,713.36/x
  3. Step 3: Cross multiply
    7,947.16x = 11,900.12 × 7,713.36
  4. Step 4: Simplify right side
    7,947.16x = 91,789,909.60
  5. Step 5: Solve for x
    x = 91,789,909.60/7,947.16
  6. Step 6: Final answer
    x = 11,550.03

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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.