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Finding the Fourth Proportional to 5,267.58, 7,895.25 and 1,978.58

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Solution

The fourth proportional to 5,267.58, 7,895.25 and 1,978.58 is: 2,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.58 : 7,895.25 = 1,978.58 : x
  2. Step 2: Convert to fraction form
    5,267.58/7,895.25 = 1,978.58/x
  3. Step 3: Cross multiply
    5,267.58x = 7,895.25 × 1,978.58
  4. Step 4: Simplify right side
    5,267.58x = 15,621,344.27
  5. Step 5: Solve for x
    x = 15,621,344.27/5,267.58
  6. Step 6: Final answer
    x = 2,965.56

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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.