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Finding the Fourth Proportional to 1,338, 1,847.90 and 919.46

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Solution

The fourth proportional to 1,338, 1,847.90 and 919.46 is: 1,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338 : 1,847.90 = 919.46 : x
  2. Step 2: Convert to fraction form
    1,338/1,847.90 = 919.46/x
  3. Step 3: Cross multiply
    1,338x = 1,847.90 × 919.46
  4. Step 4: Simplify right side
    1,338x = 1,699,070.13
  5. Step 5: Solve for x
    x = 1,699,070.13/1,338
  6. Step 6: Final answer
    x = 1,269.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.