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Finding the Fourth Proportional to 7,068.72, 10,605 and 2,138.16

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Solution

The fourth proportional to 7,068.72, 10,605 and 2,138.16 is: 3,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.72 : 10,605 = 2,138.16 : x
  2. Step 2: Convert to fraction form
    7,068.72/10,605 = 2,138.16/x
  3. Step 3: Cross multiply
    7,068.72x = 10,605 × 2,138.16
  4. Step 4: Simplify right side
    7,068.72x = 22,675,186.80
  5. Step 5: Solve for x
    x = 22,675,186.80/7,068.72
  6. Step 6: Final answer
    x = 3,207.82

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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.