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Finding the Fourth Proportional to 7,068.65, 10,604.64 and 2,138.33

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Solution

The fourth proportional to 7,068.65, 10,604.64 and 2,138.33 is: 3,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.65 : 10,604.64 = 2,138.33 : x
  2. Step 2: Convert to fraction form
    7,068.65/10,604.64 = 2,138.33/x
  3. Step 3: Cross multiply
    7,068.65x = 10,604.64 × 2,138.33
  4. Step 4: Simplify right side
    7,068.65x = 22,676,219.85
  5. Step 5: Solve for x
    x = 22,676,219.85/7,068.65
  6. Step 6: Final answer
    x = 3,208.00

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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.