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Finding the Fourth Proportional to 3,133.96, 4,315.62 and 3,065.80

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Solution

The fourth proportional to 3,133.96, 4,315.62 and 3,065.80 is: 4,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.96 : 4,315.62 = 3,065.80 : x
  2. Step 2: Convert to fraction form
    3,133.96/4,315.62 = 3,065.80/x
  3. Step 3: Cross multiply
    3,133.96x = 4,315.62 × 3,065.80
  4. Step 4: Simplify right side
    3,133.96x = 13,230,827.80
  5. Step 5: Solve for x
    x = 13,230,827.80/3,133.96
  6. Step 6: Final answer
    x = 4,221.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.