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Finding the Fourth Proportional to 1,267.36, 1,899.10 and 919.84

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Solution

The fourth proportional to 1,267.36, 1,899.10 and 919.84 is: 1,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.36 : 1,899.10 = 919.84 : x
  2. Step 2: Convert to fraction form
    1,267.36/1,899.10 = 919.84/x
  3. Step 3: Cross multiply
    1,267.36x = 1,899.10 × 919.84
  4. Step 4: Simplify right side
    1,267.36x = 1,746,868.14
  5. Step 5: Solve for x
    x = 1,746,868.14/1,267.36
  6. Step 6: Final answer
    x = 1,378.35

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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.