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Finding the Fourth Proportional to 3,068.66, 4,605.42 and 1,338.50

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Solution

The fourth proportional to 3,068.66, 4,605.42 and 1,338.50 is: 2,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.66 : 4,605.42 = 1,338.50 : x
  2. Step 2: Convert to fraction form
    3,068.66/4,605.42 = 1,338.50/x
  3. Step 3: Cross multiply
    3,068.66x = 4,605.42 × 1,338.50
  4. Step 4: Simplify right side
    3,068.66x = 6,164,354.67
  5. Step 5: Solve for x
    x = 6,164,354.67/3,068.66
  6. Step 6: Final answer
    x = 2,008.81

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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.