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Finding the Fourth Proportional to 5,205.60, 7,786.80 and 4,687.20

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Solution

The fourth proportional to 5,205.60, 7,786.80 and 4,687.20 is: 7,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.60 : 7,786.80 = 4,687.20 : x
  2. Step 2: Convert to fraction form
    5,205.60/7,786.80 = 4,687.20/x
  3. Step 3: Cross multiply
    5,205.60x = 7,786.80 × 4,687.20
  4. Step 4: Simplify right side
    5,205.60x = 36,498,288.96
  5. Step 5: Solve for x
    x = 36,498,288.96/5,205.60
  6. Step 6: Final answer
    x = 7,011.35

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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.