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Finding the Fourth Proportional to 7,242, 10,863 and 1,770

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Solution

The fourth proportional to 7,242, 10,863 and 1,770 is: 2,655

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242 : 10,863 = 1,770 : x
  2. Step 2: Convert to fraction form
    7,242/10,863 = 1,770/x
  3. Step 3: Cross multiply
    7,242x = 10,863 × 1,770
  4. Step 4: Simplify right side
    7,242x = 19,227,510
  5. Step 5: Solve for x
    x = 19,227,510/7,242
  6. Step 6: Final answer
    x = 2,655

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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.