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Finding the Fourth Proportional to 3,438.67, 5,158.10 and 973.75

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Solution

The fourth proportional to 3,438.67, 5,158.10 and 973.75 is: 1,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.67 : 5,158.10 = 973.75 : x
  2. Step 2: Convert to fraction form
    3,438.67/5,158.10 = 973.75/x
  3. Step 3: Cross multiply
    3,438.67x = 5,158.10 × 973.75
  4. Step 4: Simplify right side
    3,438.67x = 5,022,699.88
  5. Step 5: Solve for x
    x = 5,022,699.88/3,438.67
  6. Step 6: Final answer
    x = 1,460.65

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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.