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Finding the Fourth Proportional to 1,267.10, 1,895.79 and 943.91

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Solution

The fourth proportional to 1,267.10, 1,895.79 and 943.91 is: 1,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.10 : 1,895.79 = 943.91 : x
  2. Step 2: Convert to fraction form
    1,267.10/1,895.79 = 943.91/x
  3. Step 3: Cross multiply
    1,267.10x = 1,895.79 × 943.91
  4. Step 4: Simplify right side
    1,267.10x = 1,789,455.14
  5. Step 5: Solve for x
    x = 1,789,455.14/1,267.10
  6. Step 6: Final answer
    x = 1,412.24

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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.