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Finding the Fourth Proportional to 3,463.33, 4,776.70 and 3,065.42

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Solution

The fourth proportional to 3,463.33, 4,776.70 and 3,065.42 is: 4,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.33 : 4,776.70 = 3,065.42 : x
  2. Step 2: Convert to fraction form
    3,463.33/4,776.70 = 3,065.42/x
  3. Step 3: Cross multiply
    3,463.33x = 4,776.70 × 3,065.42
  4. Step 4: Simplify right side
    3,463.33x = 14,642,591.71
  5. Step 5: Solve for x
    x = 14,642,591.71/3,463.33
  6. Step 6: Final answer
    x = 4,227.89

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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.