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Finding the Fourth Proportional to 6,424, 9,636 and 1,807

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Solution

The fourth proportional to 6,424, 9,636 and 1,807 is: 2,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 9,636 = 1,807 : x
  2. Step 2: Convert to fraction form
    6,424/9,636 = 1,807/x
  3. Step 3: Cross multiply
    6,424x = 9,636 × 1,807
  4. Step 4: Simplify right side
    6,424x = 17,412,252
  5. Step 5: Solve for x
    x = 17,412,252/6,424
  6. Step 6: Final answer
    x = 2,710.50

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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.