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Finding the Fourth Proportional to 1,384.78, 1,910.10 and 919.04

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Solution

The fourth proportional to 1,384.78, 1,910.10 and 919.04 is: 1,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.78 : 1,910.10 = 919.04 : x
  2. Step 2: Convert to fraction form
    1,384.78/1,910.10 = 919.04/x
  3. Step 3: Cross multiply
    1,384.78x = 1,910.10 × 919.04
  4. Step 4: Simplify right side
    1,384.78x = 1,755,458.30
  5. Step 5: Solve for x
    x = 1,755,458.30/1,384.78
  6. Step 6: Final answer
    x = 1,267.68

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