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Finding the Fourth Proportional to 6,431, 9,646.50 and 1,814

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Solution

The fourth proportional to 6,431, 9,646.50 and 1,814 is: 2,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431 : 9,646.50 = 1,814 : x
  2. Step 2: Convert to fraction form
    6,431/9,646.50 = 1,814/x
  3. Step 3: Cross multiply
    6,431x = 9,646.50 × 1,814
  4. Step 4: Simplify right side
    6,431x = 17,498,751
  5. Step 5: Solve for x
    x = 17,498,751/6,431
  6. Step 6: Final answer
    x = 2,721

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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.