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Finding the Fourth Proportional to 3,430.00, 5,145.02 and 965.06

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Solution

The fourth proportional to 3,430.00, 5,145.02 and 965.06 is: 1,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.00 : 5,145.02 = 965.06 : x
  2. Step 2: Convert to fraction form
    3,430.00/5,145.02 = 965.06/x
  3. Step 3: Cross multiply
    3,430.00x = 5,145.02 × 965.06
  4. Step 4: Simplify right side
    3,430.00x = 4,965,274.30
  5. Step 5: Solve for x
    x = 4,965,274.30/3,430.00
  6. Step 6: Final answer
    x = 1,447.60

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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.