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Finding the Fourth Proportional to 7,080, 10,622.34 and 3,792.36

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Solution

The fourth proportional to 7,080, 10,622.34 and 3,792.36 is: 5,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 10,622.34 = 3,792.36 : x
  2. Step 2: Convert to fraction form
    7,080/10,622.34 = 3,792.36/x
  3. Step 3: Cross multiply
    7,080x = 10,622.34 × 3,792.36
  4. Step 4: Simplify right side
    7,080x = 40,283,737.32
  5. Step 5: Solve for x
    x = 40,283,737.32/7,080
  6. Step 6: Final answer
    x = 5,689.79

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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.