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Finding the Fourth Proportional to 5,462, 7,537.80 and 2,978

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Solution

The fourth proportional to 5,462, 7,537.80 and 2,978 is: 4,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462 : 7,537.80 = 2,978 : x
  2. Step 2: Convert to fraction form
    5,462/7,537.80 = 2,978/x
  3. Step 3: Cross multiply
    5,462x = 7,537.80 × 2,978
  4. Step 4: Simplify right side
    5,462x = 22,447,568.40
  5. Step 5: Solve for x
    x = 22,447,568.40/5,462
  6. Step 6: Final answer
    x = 4,109.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.