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Finding the Fourth Proportional to 7,857.80, 11,789.23 and 2,928.14

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Solution

The fourth proportional to 7,857.80, 11,789.23 and 2,928.14 is: 4,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.80 : 11,789.23 = 2,928.14 : x
  2. Step 2: Convert to fraction form
    7,857.80/11,789.23 = 2,928.14/x
  3. Step 3: Cross multiply
    7,857.80x = 11,789.23 × 2,928.14
  4. Step 4: Simplify right side
    7,857.80x = 34,520,515.93
  5. Step 5: Solve for x
    x = 34,520,515.93/7,857.80
  6. Step 6: Final answer
    x = 4,393.15

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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.