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Finding the Fourth Proportional to 3,438.82, 5,157.91 and 973.58

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Solution

The fourth proportional to 3,438.82, 5,157.91 and 973.58 is: 1,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.82 : 5,157.91 = 973.58 : x
  2. Step 2: Convert to fraction form
    3,438.82/5,157.91 = 973.58/x
  3. Step 3: Cross multiply
    3,438.82x = 5,157.91 × 973.58
  4. Step 4: Simplify right side
    3,438.82x = 5,021,633.15
  5. Step 5: Solve for x
    x = 5,021,633.15/3,438.82
  6. Step 6: Final answer
    x = 1,460.28

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1.5x scale

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.