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Finding the Fourth Proportional to 7,276.80, 10,907.10 and 3,765.45

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Solution

The fourth proportional to 7,276.80, 10,907.10 and 3,765.45 is: 5,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.80 : 10,907.10 = 3,765.45 : x
  2. Step 2: Convert to fraction form
    7,276.80/10,907.10 = 3,765.45/x
  3. Step 3: Cross multiply
    7,276.80x = 10,907.10 × 3,765.45
  4. Step 4: Simplify right side
    7,276.80x = 41,070,139.70
  5. Step 5: Solve for x
    x = 41,070,139.70/7,276.80
  6. Step 6: Final answer
    x = 5,643.98

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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.