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Finding the Fourth Proportional to 3,430.83, 5,146.45 and 965.84

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Solution

The fourth proportional to 3,430.83, 5,146.45 and 965.84 is: 1,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.83 : 5,146.45 = 965.84 : x
  2. Step 2: Convert to fraction form
    3,430.83/5,146.45 = 965.84/x
  3. Step 3: Cross multiply
    3,430.83x = 5,146.45 × 965.84
  4. Step 4: Simplify right side
    3,430.83x = 4,970,647.27
  5. Step 5: Solve for x
    x = 4,970,647.27/3,430.83
  6. Step 6: Final answer
    x = 1,448.82

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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.