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Finding the Fourth Proportional to 3,156.99, 4,735.30 and 965.53

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Solution

The fourth proportional to 3,156.99, 4,735.30 and 965.53 is: 1,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.99 : 4,735.30 = 965.53 : x
  2. Step 2: Convert to fraction form
    3,156.99/4,735.30 = 965.53/x
  3. Step 3: Cross multiply
    3,156.99x = 4,735.30 × 965.53
  4. Step 4: Simplify right side
    3,156.99x = 4,572,074.21
  5. Step 5: Solve for x
    x = 4,572,074.21/3,156.99
  6. Step 6: Final answer
    x = 1,448.24

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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.