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Finding the Fourth Proportional to 3,430.58, 5,145.93 and 965.21

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Solution

The fourth proportional to 3,430.58, 5,145.93 and 965.21 is: 1,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.58 : 5,145.93 = 965.21 : x
  2. Step 2: Convert to fraction form
    3,430.58/5,145.93 = 965.21/x
  3. Step 3: Cross multiply
    3,430.58x = 5,145.93 × 965.21
  4. Step 4: Simplify right side
    3,430.58x = 4,966,877.37
  5. Step 5: Solve for x
    x = 4,966,877.37/3,430.58
  6. Step 6: Final answer
    x = 1,447.83

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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.