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Finding the Fourth Proportional to 7,267.60, 10,877.10 and 6,392.80

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Solution

The fourth proportional to 7,267.60, 10,877.10 and 6,392.80 is: 9,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.60 : 10,877.10 = 6,392.80 : x
  2. Step 2: Convert to fraction form
    7,267.60/10,877.10 = 6,392.80/x
  3. Step 3: Cross multiply
    7,267.60x = 10,877.10 × 6,392.80
  4. Step 4: Simplify right side
    7,267.60x = 69,535,124.88
  5. Step 5: Solve for x
    x = 69,535,124.88/7,267.60
  6. Step 6: Final answer
    x = 9,567.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.